id	sid	tid	token	lemma	pos
fis-1247	1	1	microsoft	microsoft	PROPN
fis-1247	1	2	word	word	NOUN
fis-1247	1	3	numero_29_art_14	numero_29_art_14	PROPN
fis-1247	1	4	g.	g.	PROPN
fis-1247	1	5	gianbanco	gianbanco	PROPN
fis-1247	1	6	et	et	PROPN
fis-1247	1	7	alii	alii	PROPN
fis-1247	1	8	,	,	PUNCT
fis-1247	1	9	frattura	frattura	PROPN
fis-1247	1	10	ed	ed	PROPN
fis-1247	1	11	integrità	integrità	PROPN
fis-1247	1	12	strutturale	strutturale	PROPN
fis-1247	1	13	,	,	PUNCT
fis-1247	1	14	29	29	NUM
fis-1247	1	15	(	(	PUNCT
fis-1247	1	16	2014	2014	NUM
fis-1247	1	17	)	)	PUNCT
fis-1247	1	18	150	150	NUM
fis-1247	1	19	-	-	SYM
fis-1247	1	20	165	165	NUM
fis-1247	1	21	;	;	PUNCT
fis-1247	1	22	doi	doi	NOUN
fis-1247	1	23	:	:	PUNCT
fis-1247	1	24	10.3221	10.3221	NUM
fis-1247	1	25	/	/	SYM
fis-1247	1	26	igf	igf	PROPN
fis-1247	1	27	-	-	PUNCT
fis-1247	1	28	esis.29.14	esis.29.14	PROPN
fis-1247	1	29	150	150	NUM
fis-1247	1	30	focussed	focusse	VERB
fis-1247	1	31	on	on	ADP
fis-1247	1	32	:	:	PUNCT
fis-1247	1	33	computational	computational	ADJ
fis-1247	1	34	mechanics	mechanic	NOUN
fis-1247	1	35	and	and	CCONJ
fis-1247	1	36	mechanics	mechanic	NOUN
fis-1247	1	37	of	of	ADP
fis-1247	1	38	materials	material	NOUN
fis-1247	1	39	in	in	ADP
fis-1247	1	40	italy	italy	PROPN
fis-1247	1	41	ch	ch	PROPN
fis-1247	1	42	of	of	ADP
fis-1247	1	43	masonry	masonry	NOUN
fis-1247	1	44	materials	material	NOUN
fis-1247	1	45	via	via	ADP
fis-1247	1	46	meshless	meshless	ADJ
fis-1247	1	47	meso	meso	NOUN
fis-1247	1	48	-	-	PUNCT
fis-1247	1	49	modeling	modeling	NOUN
fis-1247	1	50	giuseppe	giuseppe	PROPN
fis-1247	1	51	giambanco	giambanco	PROPN
fis-1247	1	52	,	,	PUNCT
fis-1247	1	53	emma	emma	PROPN
fis-1247	1	54	la	la	PROPN
fis-1247	1	55	malfa	malfa	PROPN
fis-1247	1	56	ribolla	ribolla	PROPN
fis-1247	1	57	,	,	PUNCT
fis-1247	1	58	antonino	antonino	PROPN
fis-1247	1	59	spada	spada	PROPN
fis-1247	1	60	department	department	PROPN
fis-1247	1	61	of	of	ADP
fis-1247	1	62	civil	civil	ADJ
fis-1247	1	63	,	,	PUNCT
fis-1247	1	64	environmental	environmental	ADJ
fis-1247	1	65	,	,	PUNCT
fis-1247	1	66	aerospace	aerospace	NOUN
fis-1247	1	67	and	and	CCONJ
fis-1247	1	68	materials	material	NOUN
fis-1247	1	69	engineering	engineering	NOUN
fis-1247	1	70	(	(	PUNCT
fis-1247	1	71	dicam	dicam	NOUN
fis-1247	1	72	)	)	PUNCT
fis-1247	1	73	university	university	NOUN
fis-1247	1	74	of	of	ADP
fis-1247	1	75	palermo	palermo	NOUN
fis-1247	1	76	giuseppe.giambanco@unipa.it	giuseppe.giambanco@unipa.it	NOUN
fis-1247	1	77	,	,	PUNCT
fis-1247	1	78	emmalamalfa@hotmail.it	emmalamalfa@hotmail.it	NOUN
fis-1247	1	79	,	,	PUNCT
fis-1247	1	80	antonino.spada@unipa.it	antonino.spada@unipa.it	NOUN
fis-1247	1	81	abstract	abstract	NOUN
fis-1247	1	82	.	.	PUNCT
fis-1247	2	1	in	in	ADP
fis-1247	2	2	the	the	DET
fis-1247	2	3	present	present	ADJ
fis-1247	2	4	study	study	NOUN
fis-1247	2	5	a	a	DET
fis-1247	2	6	multi	multi	ADJ
fis-1247	2	7	-	-	ADJ
fis-1247	2	8	scale	scale	ADJ
fis-1247	2	9	computational	computational	ADJ
fis-1247	2	10	strategy	strategy	NOUN
fis-1247	2	11	for	for	ADP
fis-1247	2	12	the	the	DET
fis-1247	2	13	analysis	analysis	NOUN
fis-1247	2	14	of	of	ADP
fis-1247	2	15	masonry	masonry	NOUN
fis-1247	2	16	structures	structure	NOUN
fis-1247	2	17	is	be	AUX
fis-1247	2	18	presented	present	VERB
fis-1247	2	19	.	.	PUNCT
fis-1247	3	1	the	the	DET
fis-1247	3	2	structural	structural	ADJ
fis-1247	3	3	macroscopic	macroscopic	ADJ
fis-1247	3	4	behaviour	behaviour	NOUN
fis-1247	3	5	is	be	AUX
fis-1247	3	6	obtained	obtain	VERB
fis-1247	3	7	making	make	VERB
fis-1247	3	8	use	use	NOUN
fis-1247	3	9	of	of	ADP
fis-1247	3	10	the	the	DET
fis-1247	3	11	computational	computational	ADJ
fis-1247	3	12	homogenization	homogenization	NOUN
fis-1247	3	13	(	(	PUNCT
fis-1247	3	14	ch	ch	NOUN
fis-1247	3	15	)	)	PUNCT
fis-1247	3	16	technique	technique	NOUN
fis-1247	3	17	based	base	VERB
fis-1247	3	18	on	on	ADP
fis-1247	3	19	the	the	DET
fis-1247	3	20	solution	solution	NOUN
fis-1247	3	21	of	of	ADP
fis-1247	3	22	the	the	DET
fis-1247	3	23	boundary	boundary	ADJ
fis-1247	3	24	value	value	NOUN
fis-1247	3	25	problem	problem	NOUN
fis-1247	3	26	(	(	PUNCT
fis-1247	3	27	bvp	bvp	PROPN
fis-1247	3	28	)	)	PUNCT
fis-1247	3	29	of	of	ADP
fis-1247	3	30	a	a	DET
fis-1247	3	31	detailed	detailed	ADJ
fis-1247	3	32	unit	unit	NOUN
fis-1247	3	33	cell	cell	NOUN
fis-1247	3	34	(	(	PUNCT
fis-1247	3	35	uc	uc	PROPN
fis-1247	3	36	)	)	PUNCT
fis-1247	3	37	chosen	choose	VERB
fis-1247	3	38	at	at	ADP
fis-1247	3	39	the	the	DET
fis-1247	3	40	meso	meso	NOUN
fis-1247	3	41	-	-	PUNCT
fis-1247	3	42	scale	scale	NOUN
fis-1247	3	43	and	and	CCONJ
fis-1247	3	44	representative	representative	NOUN
fis-1247	3	45	of	of	ADP
fis-1247	3	46	the	the	DET
fis-1247	3	47	heterogeneous	heterogeneous	ADJ
fis-1247	3	48	material	material	NOUN
fis-1247	3	49	.	.	PUNCT
fis-1247	4	1	the	the	DET
fis-1247	4	2	smallest	small	ADJ
fis-1247	4	3	uc	uc	NOUN
fis-1247	4	4	is	be	AUX
fis-1247	4	5	composed	compose	VERB
fis-1247	4	6	by	by	ADP
fis-1247	4	7	a	a	DET
fis-1247	4	8	brick	brick	NOUN
fis-1247	4	9	and	and	CCONJ
fis-1247	4	10	half	half	NOUN
fis-1247	4	11	of	of	ADP
fis-1247	4	12	its	its	PRON
fis-1247	4	13	surrounding	surround	VERB
fis-1247	4	14	joints	joint	NOUN
fis-1247	4	15	,	,	PUNCT
fis-1247	4	16	the	the	DET
fis-1247	4	17	former	former	NOUN
fis-1247	4	18	assumed	assume	VERB
fis-1247	4	19	to	to	PART
fis-1247	4	20	behave	behave	VERB
fis-1247	4	21	elastically	elastically	ADV
fis-1247	4	22	while	while	SCONJ
fis-1247	4	23	the	the	DET
fis-1247	4	24	latter	latter	ADJ
fis-1247	4	25	considered	consider	VERB
fis-1247	4	26	with	with	ADP
fis-1247	4	27	an	an	DET
fis-1247	4	28	elastoplastic	elastoplastic	ADJ
fis-1247	4	29	softening	soften	VERB
fis-1247	4	30	response	response	NOUN
fis-1247	4	31	.	.	PUNCT
fis-1247	5	1	the	the	DET
fis-1247	5	2	governing	govern	VERB
fis-1247	5	3	equations	equation	NOUN
fis-1247	5	4	at	at	ADP
fis-1247	5	5	the	the	DET
fis-1247	5	6	macroscopic	macroscopic	ADJ
fis-1247	5	7	level	level	NOUN
fis-1247	5	8	are	be	AUX
fis-1247	5	9	formulated	formulate	VERB
fis-1247	5	10	in	in	ADP
fis-1247	5	11	the	the	DET
fis-1247	5	12	framework	framework	NOUN
fis-1247	5	13	of	of	ADP
fis-1247	5	14	finite	finite	ADJ
fis-1247	5	15	element	element	NOUN
fis-1247	5	16	method	method	NOUN
fis-1247	5	17	while	while	SCONJ
fis-1247	5	18	the	the	DET
fis-1247	5	19	meshless	meshless	ADJ
fis-1247	5	20	method	method	NOUN
fis-1247	5	21	(	(	PUNCT
fis-1247	5	22	mm	mm	INTJ
fis-1247	5	23	)	)	PUNCT
fis-1247	5	24	is	be	AUX
fis-1247	5	25	adopted	adopt	VERB
fis-1247	5	26	to	to	PART
fis-1247	5	27	solve	solve	VERB
fis-1247	5	28	the	the	DET
fis-1247	5	29	bvp	bvp	NOUN
fis-1247	5	30	at	at	ADP
fis-1247	5	31	the	the	DET
fis-1247	5	32	mesoscopic	mesoscopic	NOUN
fis-1247	5	33	level	level	NOUN
fis-1247	5	34	.	.	PUNCT
fis-1247	6	1	the	the	DET
fis-1247	6	2	work	work	NOUN
fis-1247	6	3	focuses	focus	VERB
fis-1247	6	4	on	on	ADP
fis-1247	6	5	the	the	DET
fis-1247	6	6	bvp	bvp	NOUN
fis-1247	6	7	solution	solution	NOUN
fis-1247	6	8	.	.	PUNCT
fis-1247	7	1	the	the	DET
fis-1247	7	2	consistent	consistent	ADJ
fis-1247	7	3	tangent	tangent	NOUN
fis-1247	7	4	stiffness	stiffness	NOUN
fis-1247	7	5	matrix	matrix	NOUN
fis-1247	7	6	at	at	ADP
fis-1247	7	7	a	a	DET
fis-1247	7	8	macroscopic	macroscopic	ADJ
fis-1247	7	9	quadrature	quadrature	NOUN
fis-1247	7	10	point	point	NOUN
fis-1247	7	11	is	be	AUX
fis-1247	7	12	evaluated	evaluate	VERB
fis-1247	7	13	on	on	ADP
fis-1247	7	14	the	the	DET
fis-1247	7	15	base	base	NOUN
fis-1247	7	16	of	of	ADP
fis-1247	7	17	bvp	bvp	PROPN
fis-1247	7	18	results	result	VERB
fis-1247	7	19	for	for	ADP
fis-1247	7	20	the	the	DET
fis-1247	7	21	uc	uc	PROPN
fis-1247	7	22	together	together	ADV
fis-1247	7	23	with	with	ADP
fis-1247	7	24	a	a	DET
fis-1247	7	25	localisation	localisation	NOUN
fis-1247	7	26	procedure	procedure	NOUN
fis-1247	7	27	.	.	PUNCT
fis-1247	8	1	validation	validation	NOUN
fis-1247	8	2	of	of	ADP
fis-1247	8	3	the	the	DET
fis-1247	8	4	mm	mm	NOUN
fis-1247	8	5	procedure	procedure	NOUN
fis-1247	8	6	at	at	ADP
fis-1247	8	7	the	the	DET
fis-1247	8	8	meso	meso	NOUN
fis-1247	8	9	-	-	PUNCT
fis-1247	8	10	scale	scale	NOUN
fis-1247	8	11	level	level	NOUN
fis-1247	8	12	is	be	AUX
fis-1247	8	13	demonstrated	demonstrate	VERB
fis-1247	8	14	by	by	ADP
fis-1247	8	15	numerical	numerical	ADJ
fis-1247	8	16	examples	example	NOUN
fis-1247	8	17	that	that	PRON
fis-1247	8	18	show	show	VERB
fis-1247	8	19	the	the	DET
fis-1247	8	20	results	result	NOUN
fis-1247	8	21	of	of	ADP
fis-1247	8	22	the	the	DET
fis-1247	8	23	bvp	bvp	NOUN
fis-1247	8	24	for	for	ADP
fis-1247	8	25	the	the	DET
fis-1247	8	26	simple	simple	ADJ
fis-1247	8	27	cases	case	NOUN
fis-1247	8	28	of	of	ADP
fis-1247	8	29	normal	normal	ADJ
fis-1247	8	30	and	and	CCONJ
fis-1247	8	31	shear	shear	NOUN
fis-1247	8	32	loading	loading	NOUN
fis-1247	8	33	of	of	ADP
fis-1247	8	34	the	the	DET
fis-1247	8	35	uc	uc	PROPN
fis-1247	8	36	.	.	PUNCT
fis-1247	8	37	keywords	keyword	NOUN
fis-1247	8	38	.	.	PUNCT
fis-1247	9	1	multiscale	multiscale	ADJ
fis-1247	9	2	;	;	PUNCT
fis-1247	9	3	mesomodeling	mesomodeling	ADJ
fis-1247	9	4	;	;	PUNCT
fis-1247	9	5	meshless	meshless	ADJ
fis-1247	9	6	;	;	PUNCT
fis-1247	9	7	masonry	masonry	NOUN
fis-1247	9	8	.	.	PUNCT
fis-1247	10	1	introduction	introduction	NOUN
fis-1247	10	2	odeling	odeling	NOUN
fis-1247	10	3	of	of	ADP
fis-1247	10	4	structures	structure	NOUN
fis-1247	10	5	constituted	constitute	VERB
fis-1247	10	6	by	by	ADP
fis-1247	10	7	heterogeneous	heterogeneous	ADJ
fis-1247	10	8	materials	material	NOUN
fis-1247	10	9	,	,	PUNCT
fis-1247	10	10	as	as	ADP
fis-1247	10	11	masonry	masonry	NOUN
fis-1247	10	12	and	and	CCONJ
fis-1247	10	13	composite	composite	ADJ
fis-1247	10	14	laminates	laminate	NOUN
fis-1247	10	15	,	,	PUNCT
fis-1247	10	16	is	be	AUX
fis-1247	10	17	still	still	ADV
fis-1247	10	18	one	one	NUM
fis-1247	10	19	of	of	ADP
fis-1247	10	20	the	the	DET
fis-1247	10	21	most	most	ADV
fis-1247	10	22	complex	complex	ADJ
fis-1247	10	23	and	and	CCONJ
fis-1247	10	24	challenging	challenging	ADJ
fis-1247	10	25	matters	matter	NOUN
fis-1247	10	26	of	of	ADP
fis-1247	10	27	the	the	DET
fis-1247	10	28	modern	modern	ADJ
fis-1247	10	29	structural	structural	ADJ
fis-1247	10	30	engineering	engineering	NOUN
fis-1247	10	31	.	.	PUNCT
fis-1247	11	1	anisotropy	anisotropy	NOUN
fis-1247	11	2	,	,	PUNCT
fis-1247	11	3	asymmetry	asymmetry	NOUN
fis-1247	11	4	,	,	PUNCT
fis-1247	11	5	geometrical	geometrical	ADJ
fis-1247	11	6	and	and	CCONJ
fis-1247	11	7	material	material	ADJ
fis-1247	11	8	non	non	NOUN
fis-1247	11	9	-	-	NOUN
fis-1247	11	10	linearities	linearity	NOUN
fis-1247	11	11	are	be	AUX
fis-1247	11	12	the	the	DET
fis-1247	11	13	main	main	ADJ
fis-1247	11	14	features	feature	NOUN
fis-1247	11	15	of	of	ADP
fis-1247	11	16	the	the	DET
fis-1247	11	17	mechanical	mechanical	ADJ
fis-1247	11	18	behavior	behavior	NOUN
fis-1247	11	19	to	to	PART
fis-1247	11	20	be	be	AUX
fis-1247	11	21	considered	consider	VERB
fis-1247	11	22	in	in	ADP
fis-1247	11	23	the	the	DET
fis-1247	11	24	formulation	formulation	NOUN
fis-1247	11	25	of	of	ADP
fis-1247	11	26	the	the	DET
fis-1247	11	27	structural	structural	ADJ
fis-1247	11	28	model	model	NOUN
fis-1247	11	29	.	.	PUNCT
fis-1247	12	1	in	in	ADP
fis-1247	12	2	masonry	masonry	NOUN
fis-1247	12	3	structures	structure	VERB
fis-1247	12	4	the	the	DET
fis-1247	12	5	most	most	ADV
fis-1247	12	6	relevant	relevant	ADJ
fis-1247	12	7	kinematical	kinematical	ADJ
fis-1247	12	8	and	and	CCONJ
fis-1247	12	9	mechanical	mechanical	ADJ
fis-1247	12	10	phenomena	phenomenon	NOUN
fis-1247	12	11	take	take	VERB
fis-1247	12	12	place	place	NOUN
fis-1247	12	13	at	at	ADP
fis-1247	12	14	a	a	DET
fis-1247	12	15	scale	scale	NOUN
fis-1247	12	16	which	which	PRON
fis-1247	12	17	is	be	AUX
fis-1247	12	18	small	small	ADJ
fis-1247	12	19	if	if	SCONJ
fis-1247	12	20	compared	compare	VERB
fis-1247	12	21	to	to	ADP
fis-1247	12	22	the	the	DET
fis-1247	12	23	dimensions	dimension	NOUN
fis-1247	12	24	of	of	ADP
fis-1247	12	25	the	the	DET
fis-1247	12	26	structure	structure	NOUN
fis-1247	12	27	.	.	PUNCT
fis-1247	13	1	on	on	ADP
fis-1247	13	2	the	the	DET
fis-1247	13	3	other	other	ADJ
fis-1247	13	4	side	side	NOUN
fis-1247	13	5	,	,	PUNCT
fis-1247	13	6	the	the	DET
fis-1247	13	7	structure	structure	NOUN
fis-1247	13	8	is	be	AUX
fis-1247	13	9	governed	govern	VERB
fis-1247	13	10	,	,	PUNCT
fis-1247	13	11	in	in	ADP
fis-1247	13	12	its	its	PRON
fis-1247	13	13	peculiar	peculiar	ADJ
fis-1247	13	14	overall	overall	ADJ
fis-1247	13	15	response	response	NOUN
fis-1247	13	16	,	,	PUNCT
fis-1247	13	17	by	by	ADP
fis-1247	13	18	its	its	PRON
fis-1247	13	19	global	global	ADJ
fis-1247	13	20	geometrical	geometrical	ADJ
fis-1247	13	21	and	and	CCONJ
fis-1247	13	22	morphological	morphological	ADJ
fis-1247	13	23	configuration	configuration	NOUN
fis-1247	13	24	.	.	PUNCT
fis-1247	14	1	in	in	ADP
fis-1247	14	2	literature	literature	NOUN
fis-1247	14	3	,	,	PUNCT
fis-1247	14	4	two	two	NUM
fis-1247	14	5	different	different	ADJ
fis-1247	14	6	scales	scale	NOUN
fis-1247	14	7	of	of	ADP
fis-1247	14	8	interest	interest	NOUN
fis-1247	14	9	are	be	AUX
fis-1247	14	10	distinguished	distinguish	VERB
fis-1247	14	11	,	,	PUNCT
fis-1247	14	12	directly	directly	ADV
fis-1247	14	13	linked	link	VERB
fis-1247	14	14	to	to	ADP
fis-1247	14	15	as	as	ADV
fis-1247	14	16	many	many	ADJ
fis-1247	14	17	theoretical	theoretical	ADJ
fis-1247	14	18	approaches	approach	NOUN
fis-1247	14	19	:	:	PUNCT
fis-1247	14	20	the	the	DET
fis-1247	14	21	mesoscopic	mesoscopic	NOUN
fis-1247	14	22	approach	approach	NOUN
fis-1247	14	23	and	and	CCONJ
fis-1247	14	24	the	the	DET
fis-1247	14	25	macroscopic	macroscopic	ADJ
fis-1247	14	26	approach	approach	NOUN
fis-1247	14	27	.	.	PUNCT
fis-1247	15	1	the	the	DET
fis-1247	15	2	mesoscopic	mesoscopic	NOUN
fis-1247	15	3	approach	approach	NOUN
fis-1247	15	4	considers	consider	VERB
fis-1247	15	5	units	unit	NOUN
fis-1247	15	6	and	and	CCONJ
fis-1247	15	7	their	their	PRON
fis-1247	15	8	interfaces	interface	NOUN
fis-1247	15	9	individually	individually	ADV
fis-1247	15	10	.	.	PUNCT
fis-1247	16	1	most	most	ADJ
fis-1247	16	2	of	of	ADP
fis-1247	16	3	the	the	DET
fis-1247	16	4	efforts	effort	NOUN
fis-1247	16	5	in	in	ADP
fis-1247	16	6	this	this	DET
fis-1247	16	7	research	research	NOUN
fis-1247	16	8	area	area	NOUN
fis-1247	16	9	are	be	AUX
fis-1247	16	10	concentrated	concentrate	VERB
fis-1247	16	11	on	on	ADP
fis-1247	16	12	the	the	DET
fis-1247	16	13	formulation	formulation	NOUN
fis-1247	16	14	of	of	ADP
fis-1247	16	15	advanced	advanced	ADJ
fis-1247	16	16	interface	interface	NOUN
fis-1247	16	17	constitutive	constitutive	ADJ
fis-1247	16	18	laws	law	NOUN
fis-1247	16	19	capable	capable	ADJ
fis-1247	16	20	to	to	PART
fis-1247	16	21	describe	describe	VERB
fis-1247	16	22	the	the	DET
fis-1247	16	23	damage	damage	NOUN
fis-1247	16	24	evolution	evolution	NOUN
fis-1247	16	25	and	and	CCONJ
fis-1247	16	26	the	the	DET
fis-1247	16	27	onset	onset	NOUN
fis-1247	16	28	of	of	ADP
fis-1247	16	29	irreversible	irreversible	ADJ
fis-1247	16	30	strains	strain	NOUN
fis-1247	16	31	and	and	CCONJ
fis-1247	16	32	related	relate	VERB
fis-1247	16	33	coupled	couple	VERB
fis-1247	16	34	effects	effect	NOUN
fis-1247	16	35	for	for	ADP
fis-1247	16	36	different	different	ADJ
fis-1247	16	37	mechanical	mechanical	ADJ
fis-1247	16	38	problems	problem	NOUN
fis-1247	16	39	.	.	PUNCT
fis-1247	17	1	in	in	ADP
fis-1247	17	2	giambanco	giambanco	PROPN
fis-1247	17	3	et	et	PROPN
fis-1247	17	4	al	al	PROPN
fis-1247	17	5	.	.	PUNCT
fis-1247	18	1	[	[	X
fis-1247	18	2	1	1	X
fis-1247	18	3	]	]	PUNCT
fis-1247	18	4	the	the	DET
fis-1247	18	5	masonry	masonry	NOUN
fis-1247	18	6	material	material	NOUN
fis-1247	18	7	is	be	AUX
fis-1247	18	8	considered	consider	VERB
fis-1247	18	9	as	as	ADP
fis-1247	18	10	an	an	DET
fis-1247	18	11	assembly	assembly	NOUN
fis-1247	18	12	of	of	ADP
fis-1247	18	13	units	unit	NOUN
fis-1247	18	14	in	in	ADP
fis-1247	18	15	contact	contact	NOUN
fis-1247	18	16	by	by	ADP
fis-1247	18	17	means	mean	NOUN
fis-1247	18	18	of	of	ADP
fis-1247	18	19	elastoplastic	elastoplastic	ADJ
fis-1247	18	20	zero	zero	NUM
fis-1247	18	21	-	-	PUNCT
fis-1247	18	22	thickness	thickness	NOUN
fis-1247	18	23	interfaces	interface	NOUN
fis-1247	18	24	,	,	PUNCT
fis-1247	18	25	focusing	focus	VERB
fis-1247	18	26	on	on	ADP
fis-1247	18	27	the	the	DET
fis-1247	18	28	cohesive	cohesive	ADJ
fis-1247	18	29	-	-	PUNCT
fis-1247	18	30	frictional	frictional	ADJ
fis-1247	18	31	joint	joint	ADJ
fis-1247	18	32	transition	transition	NOUN
fis-1247	18	33	.	.	PUNCT
fis-1247	19	1	lourenço	lourenço	VERB
fis-1247	19	2	and	and	CCONJ
fis-1247	19	3	rotz	rotz	VERB
fis-1247	19	4	[	[	X
fis-1247	19	5	2	2	X
fis-1247	19	6	]	]	PUNCT
fis-1247	19	7	proposed	propose	VERB
fis-1247	19	8	a	a	DET
fis-1247	19	9	joint	joint	ADJ
fis-1247	19	10	failure	failure	NOUN
fis-1247	19	11	criterion	criterion	NOUN
fis-1247	19	12	which	which	PRON
fis-1247	19	13	adopts	adopt	VERB
fis-1247	19	14	a	a	DET
fis-1247	19	15	cap	cap	NOUN
fis-1247	19	16	model	model	NOUN
fis-1247	19	17	to	to	PART
fis-1247	19	18	take	take	VERB
fis-1247	19	19	into	into	ADP
fis-1247	19	20	account	account	NOUN
fis-1247	19	21	the	the	DET
fis-1247	19	22	mortar	mortar	NOUN
fis-1247	19	23	compaction	compaction	NOUN
fis-1247	19	24	due	due	ADP
fis-1247	19	25	to	to	ADP
fis-1247	19	26	high	high	ADJ
fis-1247	19	27	compressive	compressive	ADJ
fis-1247	19	28	stresses	stress	NOUN
fis-1247	19	29	.	.	PUNCT
fis-1247	20	1	alfano	alfano	PROPN
fis-1247	20	2	and	and	CCONJ
fis-1247	20	3	sacco	sacco	VERB
fis-1247	20	4	[	[	X
fis-1247	20	5	3	3	NUM
fis-1247	20	6	]	]	PUNCT
fis-1247	20	7	introduced	introduce	VERB
fis-1247	20	8	a	a	DET
fis-1247	20	9	damage	damage	NOUN
fis-1247	20	10	-	-	PUNCT
fis-1247	20	11	plasticity	plasticity	NOUN
fis-1247	20	12	interface	interface	NOUN
fis-1247	20	13	model	model	NOUN
fis-1247	20	14	that	that	PRON
fis-1247	20	15	discriminated	discriminate	VERB
fis-1247	20	16	a	a	DET
fis-1247	20	17	linear	linear	ADJ
fis-1247	20	18	elastic	elastic	ADJ
fis-1247	20	19	undamaged	undamaged	ADJ
fis-1247	20	20	zone	zone	NOUN
fis-1247	20	21	from	from	ADP
fis-1247	20	22	a	a	DET
fis-1247	20	23	damaged	damage	VERB
fis-1247	20	24	zone	zone	NOUN
fis-1247	20	25	with	with	ADP
fis-1247	20	26	an	an	DET
fis-1247	20	27	unilateral	unilateral	ADJ
fis-1247	20	28	coulomb	coulomb	NOUN
fis-1247	20	29	friction	friction	NOUN
fis-1247	20	30	law	law	NOUN
fis-1247	20	31	.	.	PUNCT
fis-1247	21	1	more	more	ADV
fis-1247	21	2	recently	recently	ADV
fis-1247	21	3	,	,	PUNCT
fis-1247	21	4	spada	spada	PROPN
fis-1247	21	5	et	et	PROPN
fis-1247	21	6	al	al	PROPN
fis-1247	21	7	.	.	PUNCT
fis-1247	22	1	[	[	X
fis-1247	22	2	4	4	X
fis-1247	22	3	]	]	PUNCT
fis-1247	22	4	and	and	CCONJ
fis-1247	22	5	sacco	sacco	PROPN
fis-1247	22	6	and	and	CCONJ
fis-1247	22	7	lebon	lebon	PROPN
fis-1247	23	1	[	[	X
fis-1247	23	2	5	5	NUM
fis-1247	23	3	]	]	PUNCT
fis-1247	23	4	concentrated	concentrate	VERB
fis-1247	23	5	in	in	ADP
fis-1247	23	6	the	the	DET
fis-1247	23	7	formulation	formulation	NOUN
fis-1247	23	8	of	of	ADP
fis-1247	23	9	interface	interface	NOUN
fis-1247	23	10	laws	law	NOUN
fis-1247	23	11	which	which	PRON
fis-1247	23	12	include	include	VERB
fis-1247	23	13	the	the	DET
fis-1247	23	14	non	non	ADJ
fis-1247	23	15	-	-	ADJ
fis-1247	23	16	linear	linear	ADJ
fis-1247	23	17	effects	effect	NOUN
fis-1247	23	18	of	of	ADP
fis-1247	23	19	stiffness	stiffness	NOUN
fis-1247	23	20	m	m	NOUN
fis-1247	23	21	g.	g.	PROPN
fis-1247	23	22	gianbanco	gianbanco	PROPN
fis-1247	23	23	et	et	PROPN
fis-1247	23	24	alii	alii	PROPN
fis-1247	23	25	,	,	PUNCT
fis-1247	23	26	frattura	frattura	PROPN
fis-1247	23	27	ed	ed	PROPN
fis-1247	23	28	integrità	integrità	PROPN
fis-1247	23	29	strutturale	strutturale	PROPN
fis-1247	23	30	,	,	PUNCT
fis-1247	23	31	29	29	NUM
fis-1247	23	32	(	(	PUNCT
fis-1247	23	33	2014	2014	NUM
fis-1247	23	34	)	)	PUNCT
fis-1247	23	35	150	150	NUM
fis-1247	23	36	-	-	SYM
fis-1247	23	37	166	166	NUM
fis-1247	23	38	;	;	PUNCT
fis-1247	23	39	doi	doi	NOUN
fis-1247	23	40	:	:	PUNCT
fis-1247	23	41	10.3221	10.3221	NUM
fis-1247	23	42	/	/	SYM
fis-1247	23	43	igf	igf	PROPN
fis-1247	23	44	-	-	PUNCT
fis-1247	23	45	esis.29.14	esis.29.14	PROPN
fis-1247	23	46	151	151	NUM
fis-1247	23	47	degradation	degradation	NOUN
fis-1247	23	48	,	,	PUNCT
fis-1247	23	49	loss	loss	NOUN
fis-1247	23	50	of	of	ADP
fis-1247	23	51	adhesion	adhesion	NOUN
fis-1247	23	52	and	and	CCONJ
fis-1247	23	53	unilateral	unilateral	ADJ
fis-1247	23	54	contact	contact	NOUN
fis-1247	23	55	with	with	ADP
fis-1247	23	56	related	related	ADJ
fis-1247	23	57	frictional	frictional	ADJ
fis-1247	23	58	phenomena	phenomenon	NOUN
fis-1247	23	59	.	.	PUNCT
fis-1247	24	1	the	the	DET
fis-1247	24	2	contribution	contribution	NOUN
fis-1247	24	3	of	of	ADP
fis-1247	24	4	internal	internal	ADJ
fis-1247	24	5	stresses	stress	NOUN
fis-1247	24	6	and	and	CCONJ
fis-1247	24	7	strains	strain	NOUN
fis-1247	24	8	at	at	ADP
fis-1247	24	9	the	the	DET
fis-1247	24	10	interface	interface	NOUN
fis-1247	24	11	level	level	NOUN
fis-1247	24	12	has	have	AUX
fis-1247	24	13	been	be	AUX
fis-1247	24	14	finally	finally	ADV
fis-1247	24	15	inserted	insert	VERB
fis-1247	24	16	by	by	ADP
fis-1247	24	17	giambanco	giambanco	PROPN
fis-1247	24	18	et	et	PROPN
fis-1247	24	19	al	al	PROPN
fis-1247	24	20	.	.	PUNCT
fis-1247	25	1	[	[	X
fis-1247	25	2	6	6	NUM
fis-1247	25	3	]	]	PUNCT
fis-1247	25	4	to	to	PART
fis-1247	25	5	enrich	enrich	VERB
fis-1247	25	6	the	the	DET
fis-1247	25	7	interface	interface	NOUN
fis-1247	25	8	model	model	NOUN
fis-1247	25	9	.	.	PUNCT
fis-1247	26	1	the	the	DET
fis-1247	26	2	mesoscopic	mesoscopic	NOUN
fis-1247	26	3	approach	approach	NOUN
fis-1247	26	4	is	be	AUX
fis-1247	26	5	a	a	DET
fis-1247	26	6	rigorous	rigorous	ADJ
fis-1247	26	7	method	method	NOUN
fis-1247	26	8	of	of	ADP
fis-1247	26	9	analysis	analysis	NOUN
fis-1247	26	10	but	but	CCONJ
fis-1247	26	11	many	many	ADJ
fis-1247	26	12	difficulties	difficulty	NOUN
fis-1247	26	13	arise	arise	VERB
fis-1247	26	14	in	in	ADP
fis-1247	26	15	the	the	DET
fis-1247	26	16	mesh	mesh	NOUN
fis-1247	26	17	creation	creation	NOUN
fis-1247	26	18	and	and	CCONJ
fis-1247	26	19	a	a	DET
fis-1247	26	20	fine	fine	ADJ
fis-1247	26	21	discretization	discretization	NOUN
fis-1247	26	22	of	of	ADP
fis-1247	26	23	the	the	DET
fis-1247	26	24	structure	structure	NOUN
fis-1247	26	25	has	have	VERB
fis-1247	26	26	to	to	PART
fis-1247	26	27	be	be	AUX
fis-1247	26	28	used	use	VERB
fis-1247	26	29	,	,	PUNCT
fis-1247	26	30	which	which	PRON
fis-1247	26	31	lead	lead	VERB
fis-1247	26	32	to	to	ADP
fis-1247	26	33	prohibitive	prohibitive	ADJ
fis-1247	26	34	computational	computational	ADJ
fis-1247	26	35	costs	cost	NOUN
fis-1247	26	36	for	for	ADP
fis-1247	26	37	large	large	ADJ
fis-1247	26	38	structures	structure	NOUN
fis-1247	26	39	.	.	PUNCT
fis-1247	27	1	the	the	DET
fis-1247	27	2	macroscopic	macroscopic	ADJ
fis-1247	27	3	approach	approach	NOUN
fis-1247	27	4	considers	consider	VERB
fis-1247	27	5	the	the	DET
fis-1247	27	6	structure	structure	NOUN
fis-1247	27	7	as	as	SCONJ
fis-1247	27	8	constituted	constitute	VERB
fis-1247	27	9	by	by	ADP
fis-1247	27	10	a	a	DET
fis-1247	27	11	fictitious	fictitious	ADJ
fis-1247	27	12	homogeneous	homogeneous	ADJ
fis-1247	27	13	and	and	CCONJ
fis-1247	27	14	continuous	continuous	ADJ
fis-1247	27	15	material	material	NOUN
fis-1247	27	16	.	.	PUNCT
fis-1247	28	1	in	in	ADP
fis-1247	28	2	this	this	DET
fis-1247	28	3	approach	approach	NOUN
fis-1247	28	4	simplified	simplify	VERB
fis-1247	28	5	constitutive	constitutive	ADJ
fis-1247	28	6	models	model	NOUN
fis-1247	28	7	are	be	AUX
fis-1247	28	8	formulated	formulate	VERB
fis-1247	28	9	in	in	ADP
fis-1247	28	10	a	a	DET
fis-1247	28	11	phenomenological	phenomenological	ADJ
fis-1247	28	12	manner	manner	NOUN
fis-1247	28	13	,	,	PUNCT
fis-1247	28	14	intentionally	intentionally	ADV
fis-1247	28	15	neglecting	neglect	VERB
fis-1247	28	16	the	the	DET
fis-1247	28	17	actual	actual	ADJ
fis-1247	28	18	material	material	NOUN
fis-1247	28	19	composition	composition	NOUN
fis-1247	28	20	but	but	CCONJ
fis-1247	28	21	smearing	smear	VERB
fis-1247	28	22	the	the	DET
fis-1247	28	23	effects	effect	NOUN
fis-1247	28	24	of	of	ADP
fis-1247	28	25	the	the	DET
fis-1247	28	26	heterogeneities	heterogeneity	NOUN
fis-1247	28	27	presence	presence	NOUN
fis-1247	28	28	by	by	ADP
fis-1247	28	29	appropriate	appropriate	ADJ
fis-1247	28	30	mechanical	mechanical	ADJ
fis-1247	28	31	assumptions	assumption	NOUN
fis-1247	28	32	[	[	X
fis-1247	28	33	7	7	NUM
fis-1247	28	34	]	]	PUNCT
fis-1247	28	35	.	.	PUNCT
fis-1247	29	1	the	the	DET
fis-1247	29	2	multiscale	multiscale	PROPN
fis-1247	29	3	techniques	technique	NOUN
fis-1247	29	4	belong	belong	VERB
fis-1247	29	5	to	to	ADP
fis-1247	29	6	the	the	DET
fis-1247	29	7	second	second	ADJ
fis-1247	29	8	approach	approach	NOUN
fis-1247	29	9	and	and	CCONJ
fis-1247	29	10	couple	couple	NOUN
fis-1247	29	11	different	different	ADJ
fis-1247	29	12	scales	scale	NOUN
fis-1247	29	13	of	of	ADP
fis-1247	29	14	interest	interest	NOUN
fis-1247	29	15	by	by	ADP
fis-1247	29	16	means	mean	NOUN
fis-1247	29	17	of	of	ADP
fis-1247	29	18	specific	specific	ADJ
fis-1247	29	19	transition	transition	NOUN
fis-1247	29	20	laws	law	NOUN
fis-1247	29	21	capable	capable	ADJ
fis-1247	29	22	to	to	PART
fis-1247	29	23	exchange	exchange	VERB
fis-1247	29	24	information	information	NOUN
fis-1247	29	25	between	between	ADP
fis-1247	29	26	different	different	ADJ
fis-1247	29	27	consecutive	consecutive	ADJ
fis-1247	29	28	scales	scale	NOUN
fis-1247	29	29	[	[	X
fis-1247	29	30	8	8	NUM
fis-1247	29	31	-	-	SYM
fis-1247	29	32	10	10	NUM
fis-1247	29	33	]	]	PUNCT
fis-1247	29	34	.	.	PUNCT
fis-1247	30	1	according	accord	VERB
fis-1247	30	2	to	to	ADP
fis-1247	30	3	[	[	X
fis-1247	30	4	11	11	NUM
fis-1247	30	5	]	]	SYM
fis-1247	30	6	three	three	NUM
fis-1247	30	7	homogenization	homogenization	NOUN
fis-1247	30	8	techniques	technique	NOUN
fis-1247	30	9	exist	exist	VERB
fis-1247	30	10	:	:	PUNCT
fis-1247	30	11	the	the	DET
fis-1247	30	12	analytical	analytical	ADJ
fis-1247	30	13	homogenization	homogenization	NOUN
fis-1247	30	14	,	,	PUNCT
fis-1247	30	15	the	the	DET
fis-1247	30	16	numerical	numerical	ADJ
fis-1247	30	17	homogenization	homogenization	NOUN
fis-1247	30	18	,	,	PUNCT
fis-1247	30	19	and	and	CCONJ
fis-1247	30	20	the	the	DET
fis-1247	30	21	computational	computational	ADJ
fis-1247	30	22	homogenization	homogenization	NOUN
fis-1247	30	23	(	(	PUNCT
fis-1247	30	24	ch	ch	NOUN
fis-1247	30	25	)	)	PUNCT
fis-1247	30	26	.	.	PUNCT
fis-1247	31	1	in	in	ADP
fis-1247	31	2	particular	particular	ADJ
fis-1247	31	3	the	the	DET
fis-1247	31	4	ch	ch	NOUN
fis-1247	31	5	consists	consist	VERB
fis-1247	31	6	in	in	ADP
fis-1247	31	7	the	the	DET
fis-1247	31	8	following	follow	VERB
fis-1247	31	9	steps	step	NOUN
fis-1247	31	10	.	.	PUNCT
fis-1247	32	1	a	a	DET
fis-1247	32	2	macroscopic	macroscopic	ADJ
fis-1247	32	3	strain	strain	NOUN
fis-1247	32	4	or	or	CCONJ
fis-1247	32	5	stress	stress	NOUN
fis-1247	32	6	is	be	AUX
fis-1247	32	7	used	use	VERB
fis-1247	32	8	to	to	PART
fis-1247	32	9	apply	apply	VERB
fis-1247	32	10	kinematic	kinematic	ADJ
fis-1247	32	11	or	or	CCONJ
fis-1247	32	12	static	static	ADJ
fis-1247	32	13	boundary	boundary	ADJ
fis-1247	32	14	conditions	condition	NOUN
fis-1247	32	15	to	to	ADP
fis-1247	32	16	the	the	DET
fis-1247	32	17	uc	uc	PROPN
fis-1247	32	18	(	(	PUNCT
fis-1247	32	19	macro	macro	ADJ
fis-1247	32	20	-	-	ADJ
fis-1247	32	21	meso	meso	ADJ
fis-1247	32	22	scale	scale	NOUN
fis-1247	32	23	transition	transition	NOUN
fis-1247	32	24	)	)	PUNCT
fis-1247	32	25	.	.	PUNCT
fis-1247	33	1	the	the	DET
fis-1247	33	2	equilibrium	equilibrium	NOUN
fis-1247	33	3	of	of	ADP
fis-1247	33	4	the	the	DET
fis-1247	33	5	uc	uc	PROPN
fis-1247	33	6	is	be	AUX
fis-1247	33	7	obtained	obtain	VERB
fis-1247	33	8	by	by	ADP
fis-1247	33	9	solving	solve	VERB
fis-1247	33	10	a	a	DET
fis-1247	33	11	bvp	bvp	NOUN
fis-1247	33	12	at	at	ADP
fis-1247	33	13	the	the	DET
fis-1247	33	14	mesoscale	mesoscale	NOUN
fis-1247	33	15	.	.	PUNCT
fis-1247	34	1	lastly	lastly	ADV
fis-1247	34	2	,	,	PUNCT
fis-1247	34	3	the	the	DET
fis-1247	34	4	macro	macro	NOUN
fis-1247	34	5	-	-	NOUN
fis-1247	34	6	strains	strain	NOUN
fis-1247	34	7	or	or	CCONJ
fis-1247	34	8	macro	macro	NOUN
fis-1247	34	9	-	-	NOUN
fis-1247	34	10	stresses	stress	NOUN
fis-1247	34	11	are	be	AUX
fis-1247	34	12	assumed	assume	VERB
fis-1247	34	13	to	to	PART
fis-1247	34	14	be	be	AUX
fis-1247	34	15	the	the	DET
fis-1247	34	16	average	average	NOUN
fis-1247	34	17	on	on	ADP
fis-1247	34	18	the	the	DET
fis-1247	34	19	uc	uc	NOUN
fis-1247	34	20	of	of	ADP
fis-1247	34	21	the	the	DET
fis-1247	34	22	corresponding	corresponding	ADJ
fis-1247	34	23	meso	meso	NOUN
fis-1247	34	24	-	-	PUNCT
fis-1247	34	25	strains	strain	NOUN
fis-1247	34	26	or	or	CCONJ
fis-1247	34	27	meso	meso	NOUN
fis-1247	34	28	-	-	PUNCT
fis-1247	34	29	stresses	stress	NOUN
fis-1247	34	30	(	(	PUNCT
fis-1247	34	31	meso	meso	NOUN
fis-1247	34	32	-	-	PUNCT
fis-1247	34	33	macro	macro	ADJ
fis-1247	34	34	scale	scale	NOUN
fis-1247	34	35	transition	transition	NOUN
fis-1247	34	36	)	)	PUNCT
fis-1247	34	37	.	.	PUNCT
fis-1247	35	1	in	in	ADP
fis-1247	35	2	a	a	DET
fis-1247	35	3	strain	strain	NOUN
fis-1247	35	4	driven	drive	VERB
fis-1247	35	5	process	process	NOUN
fis-1247	35	6	,	,	PUNCT
fis-1247	35	7	the	the	DET
fis-1247	35	8	aforementioned	aforementioned	ADJ
fis-1247	35	9	boundary	boundary	ADJ
fis-1247	35	10	conditions	condition	NOUN
fis-1247	35	11	are	be	AUX
fis-1247	35	12	of	of	ADP
fis-1247	35	13	dirichlet	dirichlet	NOUN
fis-1247	35	14	type	type	NOUN
fis-1247	35	15	and	and	CCONJ
fis-1247	35	16	are	be	AUX
fis-1247	35	17	chosen	choose	VERB
fis-1247	35	18	linear	linear	ADJ
fis-1247	35	19	or	or	CCONJ
fis-1247	35	20	periodic	periodic	NOUN
fis-1247	35	21	.	.	PUNCT
fis-1247	36	1	the	the	DET
fis-1247	36	2	latter	latter	ADJ
fis-1247	36	3	imply	imply	VERB
fis-1247	36	4	the	the	DET
fis-1247	36	5	repetition	repetition	NOUN
fis-1247	36	6	of	of	ADP
fis-1247	36	7	inelastic	inelastic	ADJ
fis-1247	36	8	phenomena	phenomenon	NOUN
fis-1247	36	9	for	for	ADP
fis-1247	36	10	adjacent	adjacent	ADJ
fis-1247	36	11	ucs	ucs	PROPN
fis-1247	36	12	.	.	PUNCT
fis-1247	37	1	despite	despite	SCONJ
fis-1247	37	2	it	it	PRON
fis-1247	37	3	is	be	AUX
fis-1247	37	4	known	know	VERB
fis-1247	37	5	in	in	ADP
fis-1247	37	6	literature	literature	NOUN
fis-1247	37	7	that	that	SCONJ
fis-1247	37	8	periodic	periodic	ADJ
fis-1247	37	9	conditions	condition	NOUN
fis-1247	37	10	offer	offer	VERB
fis-1247	37	11	a	a	DET
fis-1247	37	12	better	well	ADJ
fis-1247	37	13	estimate	estimate	NOUN
fis-1247	37	14	of	of	ADP
fis-1247	37	15	stiffness	stiffness	ADJ
fis-1247	37	16	matrix	matrix	NOUN
fis-1247	37	17	with	with	ADP
fis-1247	37	18	respect	respect	NOUN
fis-1247	37	19	to	to	ADP
fis-1247	37	20	linear	linear	ADJ
fis-1247	37	21	conditions	condition	NOUN
fis-1247	37	22	,	,	PUNCT
fis-1247	37	23	in	in	ADP
fis-1247	37	24	this	this	DET
fis-1247	37	25	paper	paper	NOUN
fis-1247	37	26	linear	linear	NOUN
fis-1247	37	27	conditions	condition	NOUN
fis-1247	37	28	are	be	AUX
fis-1247	37	29	used	use	VERB
fis-1247	37	30	,	,	PUNCT
fis-1247	37	31	with	with	ADP
fis-1247	37	32	the	the	DET
fis-1247	37	33	aim	aim	NOUN
fis-1247	37	34	to	to	PART
fis-1247	37	35	verify	verify	VERB
fis-1247	37	36	the	the	DET
fis-1247	37	37	difference	difference	NOUN
fis-1247	37	38	in	in	ADP
fis-1247	37	39	future	future	ADJ
fis-1247	37	40	works	work	NOUN
fis-1247	37	41	.	.	PUNCT
fis-1247	38	1	two	two	NUM
fis-1247	38	2	different	different	ADJ
fis-1247	38	3	ch	ch	NOUN
fis-1247	38	4	methods	method	NOUN
fis-1247	38	5	are	be	AUX
fis-1247	38	6	distinguished	distinguish	VERB
fis-1247	38	7	.	.	PUNCT
fis-1247	39	1	in	in	ADP
fis-1247	39	2	the	the	DET
fis-1247	39	3	first	first	ADJ
fis-1247	39	4	order	order	NOUN
fis-1247	39	5	ch	ch	NOUN
fis-1247	39	6	method	method	PROPN
fis-1247	39	7	cauchy	cauchy	NOUN
fis-1247	39	8	models	model	NOUN
fis-1247	39	9	are	be	AUX
fis-1247	39	10	used	use	VERB
fis-1247	39	11	at	at	ADP
fis-1247	39	12	all	all	DET
fis-1247	39	13	scales	scale	NOUN
fis-1247	39	14	.	.	PUNCT
fis-1247	40	1	this	this	DET
fis-1247	40	2	method	method	NOUN
fis-1247	40	3	is	be	AUX
fis-1247	40	4	based	base	VERB
fis-1247	40	5	on	on	ADP
fis-1247	40	6	the	the	DET
fis-1247	40	7	satisfaction	satisfaction	NOUN
fis-1247	40	8	of	of	ADP
fis-1247	40	9	the	the	DET
fis-1247	40	10	principle	principle	NOUN
fis-1247	40	11	of	of	ADP
fis-1247	40	12	separation	separation	NOUN
fis-1247	40	13	of	of	ADP
fis-1247	40	14	scales	scale	NOUN
fis-1247	40	15	,	,	PUNCT
fis-1247	40	16	which	which	PRON
fis-1247	40	17	asserts	assert	VERB
fis-1247	40	18	that	that	SCONJ
fis-1247	40	19	the	the	DET
fis-1247	40	20	characteristic	characteristic	ADJ
fis-1247	40	21	size	size	NOUN
fis-1247	40	22	of	of	ADP
fis-1247	40	23	the	the	DET
fis-1247	40	24	uc	uc	PROPN
fis-1247	40	25	is	be	AUX
fis-1247	40	26	much	much	ADV
fis-1247	40	27	smaller	small	ADJ
fis-1247	40	28	then	then	ADV
fis-1247	40	29	the	the	DET
fis-1247	40	30	size	size	NOUN
fis-1247	40	31	of	of	ADP
fis-1247	40	32	the	the	DET
fis-1247	40	33	structure	structure	NOUN
fis-1247	40	34	[	[	X
fis-1247	40	35	12	12	NUM
fis-1247	40	36	]	]	PUNCT
fis-1247	40	37	.	.	PUNCT
fis-1247	41	1	massart	massart	VERB
fis-1247	42	1	[	[	X
fis-1247	42	2	13	13	NUM
fis-1247	42	3	]	]	PUNCT
fis-1247	42	4	proposed	propose	VERB
fis-1247	42	5	an	an	DET
fis-1247	42	6	enhanced	enhanced	ADJ
fis-1247	42	7	multiscale	multiscale	NOUN
fis-1247	42	8	model	model	NOUN
fis-1247	42	9	for	for	ADP
fis-1247	42	10	masonry	masonry	NOUN
fis-1247	42	11	structures	structure	NOUN
fis-1247	42	12	using	use	VERB
fis-1247	42	13	nonlocal	nonlocal	ADJ
fis-1247	42	14	implicit	implicit	ADJ
fis-1247	42	15	gradient	gradient	ADJ
fis-1247	42	16	isotropic	isotropic	NOUN
fis-1247	42	17	damage	damage	NOUN
fis-1247	42	18	models	model	NOUN
fis-1247	42	19	for	for	ADP
fis-1247	42	20	both	both	DET
fis-1247	42	21	constituents	constituent	NOUN
fis-1247	42	22	of	of	ADP
fis-1247	42	23	the	the	DET
fis-1247	42	24	uc	uc	PROPN
fis-1247	42	25	.	.	PUNCT
fis-1247	43	1	a	a	DET
fis-1247	43	2	second	second	ADJ
fis-1247	43	3	ch	ch	NOUN
fis-1247	43	4	method	method	NOUN
fis-1247	43	5	employs	employ	VERB
fis-1247	43	6	cosserat	cosserat	NOUN
fis-1247	43	7	or	or	CCONJ
fis-1247	43	8	higher	high	ADJ
fis-1247	43	9	order	order	NOUN
fis-1247	43	10	continua	continuum	NOUN
fis-1247	43	11	to	to	PART
fis-1247	43	12	consider	consider	VERB
fis-1247	43	13	those	those	DET
fis-1247	43	14	cases	case	NOUN
fis-1247	43	15	in	in	ADP
fis-1247	43	16	which	which	PRON
fis-1247	43	17	strong	strong	ADJ
fis-1247	43	18	strain	strain	NOUN
fis-1247	43	19	or	or	CCONJ
fis-1247	43	20	stress	stress	NOUN
fis-1247	43	21	gradients	gradient	NOUN
fis-1247	43	22	arise	arise	VERB
fis-1247	43	23	at	at	ADP
fis-1247	43	24	the	the	DET
fis-1247	43	25	macroscopic	macroscopic	ADJ
fis-1247	43	26	level	level	NOUN
fis-1247	43	27	or	or	CCONJ
fis-1247	43	28	the	the	DET
fis-1247	43	29	mesoscopic	mesoscopic	NOUN
fis-1247	43	30	dimensions	dimension	NOUN
fis-1247	43	31	of	of	ADP
fis-1247	43	32	the	the	DET
fis-1247	43	33	uc	uc	PROPN
fis-1247	43	34	constituents	constituent	NOUN
fis-1247	43	35	are	be	AUX
fis-1247	43	36	comparable	comparable	ADJ
fis-1247	43	37	with	with	ADP
fis-1247	43	38	the	the	DET
fis-1247	43	39	ones	one	NOUN
fis-1247	43	40	at	at	ADP
fis-1247	43	41	the	the	DET
fis-1247	43	42	macro	macro	NOUN
fis-1247	43	43	-	-	NOUN
fis-1247	43	44	level	level	NOUN
fis-1247	43	45	.	.	PUNCT
fis-1247	44	1	addessi	addessi	PROPN
fis-1247	44	2	and	and	CCONJ
fis-1247	44	3	sacco	sacco	PROPN
fis-1247	44	4	[	[	X
fis-1247	44	5	14	14	NUM
fis-1247	44	6	]	]	PUNCT
fis-1247	44	7	analyzed	analyze	VERB
fis-1247	44	8	masonry	masonry	NOUN
fis-1247	44	9	panels	panel	NOUN
fis-1247	44	10	in	in	ADP
fis-1247	44	11	the	the	DET
fis-1247	44	12	framework	framework	NOUN
fis-1247	44	13	of	of	ADP
fis-1247	44	14	transformation	transformation	NOUN
fis-1247	44	15	field	field	NOUN
fis-1247	44	16	analysis	analysis	NOUN
fis-1247	44	17	by	by	ADP
fis-1247	44	18	using	use	VERB
fis-1247	44	19	a	a	DET
fis-1247	44	20	two	two	NUM
fis-1247	44	21	-	-	PUNCT
fis-1247	44	22	dimensional	dimensional	ADJ
fis-1247	44	23	cosserat	cosserat	NOUN
fis-1247	44	24	continuum	continuum	NOUN
fis-1247	44	25	for	for	ADP
fis-1247	44	26	macro	macro	NOUN
fis-1247	44	27	-	-	NOUN
fis-1247	44	28	scale	scale	NOUN
fis-1247	44	29	and	and	CCONJ
fis-1247	44	30	a	a	DET
fis-1247	44	31	non	non	ADJ
fis-1247	44	32	-	-	ADJ
fis-1247	44	33	linear	linear	ADJ
fis-1247	44	34	damage	damage	NOUN
fis-1247	44	35	contact	contact	NOUN
fis-1247	44	36	-	-	PUNCT
fis-1247	44	37	friction	friction	NOUN
fis-1247	44	38	model	model	NOUN
fis-1247	44	39	for	for	ADP
fis-1247	44	40	the	the	DET
fis-1247	44	41	mortar	mortar	NOUN
fis-1247	44	42	joints	joint	NOUN
fis-1247	44	43	at	at	ADP
fis-1247	44	44	the	the	DET
fis-1247	44	45	meso	meso	NOUN
fis-1247	44	46	-	-	PUNCT
fis-1247	44	47	scale	scale	NOUN
fis-1247	44	48	.	.	PUNCT
fis-1247	45	1	many	many	ADJ
fis-1247	45	2	authors	author	NOUN
fis-1247	45	3	have	have	AUX
fis-1247	45	4	also	also	ADV
fis-1247	45	5	faced	face	VERB
fis-1247	45	6	the	the	DET
fis-1247	45	7	problem	problem	NOUN
fis-1247	45	8	of	of	ADP
fis-1247	45	9	localization	localization	NOUN
fis-1247	45	10	of	of	ADP
fis-1247	45	11	deformations	deformation	NOUN
fis-1247	45	12	.	.	PUNCT
fis-1247	46	1	for	for	ADP
fis-1247	46	2	ductile	ductile	NOUN
fis-1247	46	3	materials	material	NOUN
fis-1247	46	4	with	with	ADP
fis-1247	46	5	an	an	DET
fis-1247	46	6	elastic	elastic	ADJ
fis-1247	46	7	-	-	PUNCT
fis-1247	46	8	plastic	plastic	NOUN
fis-1247	46	9	behavior	behavior	NOUN
fis-1247	46	10	sufficiently	sufficiently	ADV
fis-1247	46	11	deformed	deform	VERB
fis-1247	46	12	into	into	ADP
fis-1247	46	13	the	the	DET
fis-1247	46	14	plastic	plastic	ADJ
fis-1247	46	15	range	range	NOUN
fis-1247	46	16	,	,	PUNCT
fis-1247	46	17	the	the	DET
fis-1247	46	18	abrupt	abrupt	ADJ
fis-1247	46	19	changes	change	NOUN
fis-1247	46	20	in	in	ADP
fis-1247	46	21	the	the	DET
fis-1247	46	22	deformation	deformation	NOUN
fis-1247	46	23	field	field	NOUN
fis-1247	46	24	occur	occur	VERB
fis-1247	46	25	across	across	ADP
fis-1247	46	26	narrow	narrow	ADJ
fis-1247	46	27	zones	zone	NOUN
fis-1247	46	28	(	(	PUNCT
fis-1247	46	29	shear	shear	NOUN
fis-1247	46	30	bands	band	NOUN
fis-1247	46	31	)	)	PUNCT
fis-1247	46	32	.	.	PUNCT
fis-1247	47	1	this	this	DET
fis-1247	47	2	phenomenon	phenomenon	NOUN
fis-1247	47	3	is	be	AUX
fis-1247	47	4	called	call	VERB
fis-1247	47	5	localization	localization	NOUN
fis-1247	47	6	of	of	ADP
fis-1247	47	7	plastic	plastic	ADJ
fis-1247	47	8	deformation	deformation	NOUN
fis-1247	47	9	.	.	PUNCT
fis-1247	48	1	rice	rice	NOUN
fis-1247	49	1	[	[	X
fis-1247	49	2	17	17	NUM
fis-1247	49	3	]	]	PUNCT
fis-1247	49	4	and	and	CCONJ
fis-1247	49	5	ottosen	ottosen	VERB
fis-1247	49	6	and	and	CCONJ
fis-1247	49	7	runesson	runesson	VERB
fis-1247	50	1	[	[	X
fis-1247	50	2	18	18	NUM
fis-1247	50	3	]	]	PUNCT
fis-1247	50	4	studied	study	VERB
fis-1247	50	5	the	the	DET
fis-1247	50	6	problem	problem	NOUN
fis-1247	50	7	and	and	CCONJ
fis-1247	50	8	found	find	VERB
fis-1247	50	9	the	the	DET
fis-1247	50	10	conditions	condition	NOUN
fis-1247	50	11	under	under	ADP
fis-1247	50	12	which	which	PRON
fis-1247	50	13	the	the	DET
fis-1247	50	14	localization	localization	NOUN
fis-1247	50	15	occurs	occur	VERB
fis-1247	50	16	.	.	PUNCT
fis-1247	51	1	massart	massart	PROPN
fis-1247	51	2	et	et	PROPN
fis-1247	51	3	al	al	PROPN
fis-1247	52	1	[	[	X
fis-1247	52	2	16	16	NUM
fis-1247	52	3	]	]	PUNCT
fis-1247	52	4	inserted	insert	VERB
fis-1247	52	5	the	the	DET
fis-1247	52	6	localization	localization	NOUN
fis-1247	52	7	procedure	procedure	NOUN
fis-1247	52	8	into	into	ADP
fis-1247	52	9	a	a	DET
fis-1247	52	10	multi	multi	ADJ
fis-1247	52	11	-	-	ADJ
fis-1247	52	12	scale	scale	ADJ
fis-1247	52	13	problem	problem	NOUN
fis-1247	52	14	,	,	PUNCT
fis-1247	52	15	considering	consider	VERB
fis-1247	52	16	a	a	DET
fis-1247	52	17	gradient	gradient	ADJ
fis-1247	52	18	damage	damage	NOUN
fis-1247	52	19	model	model	NOUN
fis-1247	52	20	at	at	ADP
fis-1247	52	21	the	the	DET
fis-1247	52	22	mesoscale	mesoscale	NOUN
fis-1247	52	23	.	.	PUNCT
fis-1247	53	1	in	in	ADP
fis-1247	53	2	this	this	DET
fis-1247	53	3	paper	paper	NOUN
fis-1247	53	4	a	a	DET
fis-1247	53	5	multiscale	multiscale	ADJ
fis-1247	53	6	computational	computational	ADJ
fis-1247	53	7	strategy	strategy	NOUN
fis-1247	53	8	for	for	ADP
fis-1247	53	9	the	the	DET
fis-1247	53	10	analysis	analysis	NOUN
fis-1247	53	11	of	of	ADP
fis-1247	53	12	masonry	masonry	NOUN
fis-1247	53	13	structures	structure	NOUN
fis-1247	53	14	is	be	AUX
fis-1247	53	15	presented	present	VERB
fis-1247	53	16	.	.	PUNCT
fis-1247	54	1	the	the	DET
fis-1247	54	2	applied	apply	VERB
fis-1247	54	3	technique	technique	NOUN
fis-1247	54	4	belongs	belong	VERB
fis-1247	54	5	to	to	ADP
fis-1247	54	6	the	the	DET
fis-1247	54	7	first	first	ADJ
fis-1247	54	8	order	order	NOUN
fis-1247	54	9	ch	ch	NOUN
fis-1247	54	10	methods	method	NOUN
fis-1247	54	11	.	.	PUNCT
fis-1247	55	1	the	the	DET
fis-1247	55	2	uc	uc	PROPN
fis-1247	55	3	chosen	choose	VERB
fis-1247	55	4	at	at	ADP
fis-1247	55	5	the	the	DET
fis-1247	55	6	meso	meso	NOUN
fis-1247	55	7	-	-	PUNCT
fis-1247	55	8	scale	scale	NOUN
fis-1247	55	9	is	be	AUX
fis-1247	55	10	composed	compose	VERB
fis-1247	55	11	by	by	ADP
fis-1247	55	12	a	a	DET
fis-1247	55	13	brick	brick	NOUN
fis-1247	55	14	and	and	CCONJ
fis-1247	55	15	half	half	NOUN
fis-1247	55	16	of	of	ADP
fis-1247	55	17	its	its	PRON
fis-1247	55	18	surrounding	surround	VERB
fis-1247	55	19	joints	joint	NOUN
fis-1247	55	20	.	.	PUNCT
fis-1247	56	1	brick	brick	NOUN
fis-1247	56	2	is	be	AUX
fis-1247	56	3	assumed	assume	VERB
fis-1247	56	4	elastic	elastic	ADJ
fis-1247	56	5	while	while	SCONJ
fis-1247	56	6	mortar	mortar	NOUN
fis-1247	56	7	joints	joint	NOUN
fis-1247	56	8	are	be	AUX
fis-1247	56	9	modeled	model	VERB
fis-1247	56	10	by	by	ADP
fis-1247	56	11	means	mean	NOUN
fis-1247	56	12	of	of	ADP
fis-1247	56	13	zero	zero	NUM
fis-1247	56	14	-	-	PUNCT
fis-1247	56	15	thickness	thickness	NOUN
fis-1247	56	16	elasto	elasto	NOUN
fis-1247	56	17	-	-	PUNCT
fis-1247	56	18	plastic	plastic	NOUN
fis-1247	56	19	interface	interface	NOUN
fis-1247	56	20	elements	element	NOUN
fis-1247	56	21	.	.	PUNCT
fis-1247	57	1	the	the	DET
fis-1247	57	2	bvp	bvp	PROPN
fis-1247	57	3	is	be	AUX
fis-1247	57	4	solved	solve	VERB
fis-1247	57	5	applying	apply	VERB
fis-1247	57	6	the	the	DET
fis-1247	57	7	meshless	meshless	ADJ
fis-1247	57	8	method	method	NOUN
fis-1247	57	9	(	(	PUNCT
fis-1247	57	10	mm	mm	INTJ
fis-1247	57	11	)	)	PUNCT
fis-1247	57	12	and	and	CCONJ
fis-1247	57	13	the	the	DET
fis-1247	57	14	uc	uc	PROPN
fis-1247	57	15	is	be	AUX
fis-1247	57	16	subjected	subject	VERB
fis-1247	57	17	to	to	ADP
fis-1247	57	18	linear	linear	VERB
fis-1247	57	19	boundary	boundary	ADJ
fis-1247	57	20	displacements	displacement	NOUN
fis-1247	57	21	.	.	PUNCT
fis-1247	58	1	unlike	unlike	ADP
fis-1247	58	2	fem	fem	PROPN
fis-1247	58	3	,	,	PUNCT
fis-1247	58	4	in	in	ADP
fis-1247	58	5	mm	mm	PROPN
fis-1247	58	6	the	the	DET
fis-1247	58	7	shape	shape	NOUN
fis-1247	58	8	functions	function	NOUN
fis-1247	58	9	are	be	AUX
fis-1247	58	10	only	only	ADV
fis-1247	58	11	approximants	approximant	NOUN
fis-1247	58	12	and	and	CCONJ
fis-1247	58	13	not	not	PART
fis-1247	58	14	interpolants	interpolant	NOUN
fis-1247	58	15	.	.	PUNCT
fis-1247	59	1	these	these	PRON
fis-1247	59	2	are	be	AUX
fis-1247	59	3	obtained	obtain	VERB
fis-1247	59	4	by	by	ADP
fis-1247	59	5	defining	define	VERB
fis-1247	59	6	the	the	DET
fis-1247	59	7	influence	influence	NOUN
fis-1247	59	8	of	of	ADP
fis-1247	59	9	nodes	node	NOUN
fis-1247	59	10	on	on	ADP
fis-1247	59	11	a	a	DET
fis-1247	59	12	fixed	fix	VERB
fis-1247	59	13	point	point	NOUN
fis-1247	59	14	by	by	ADP
fis-1247	59	15	means	mean	NOUN
fis-1247	59	16	of	of	ADP
fis-1247	59	17	weight	weight	NOUN
fis-1247	59	18	functions	function	NOUN
fis-1247	59	19	,	,	PUNCT
fis-1247	59	20	which	which	PRON
fis-1247	59	21	have	have	VERB
fis-1247	59	22	a	a	DET
fis-1247	59	23	compact	compact	ADJ
fis-1247	59	24	support	support	NOUN
fis-1247	59	25	.	.	PUNCT
fis-1247	60	1	the	the	DET
fis-1247	60	2	support	support	NOUN
fis-1247	60	3	size	size	NOUN
fis-1247	60	4	is	be	AUX
fis-1247	60	5	dependent	dependent	ADJ
fis-1247	60	6	by	by	ADP
fis-1247	60	7	the	the	DET
fis-1247	60	8	so	so	ADV
fis-1247	60	9	-	-	PUNCT
fis-1247	60	10	called	call	VERB
fis-1247	60	11	dilatation	dilatation	NOUN
fis-1247	60	12	parameter	parameter	NOUN
fis-1247	60	13	or	or	CCONJ
fis-1247	60	14	smoothing	smooth	VERB
fis-1247	60	15	length	length	NOUN
fis-1247	60	16	.	.	PUNCT
fis-1247	61	1	the	the	DET
fis-1247	61	2	smoothing	smoothing	NOUN
fis-1247	61	3	length	length	NOUN
fis-1247	61	4	is	be	AUX
fis-1247	61	5	critical	critical	ADJ
fis-1247	61	6	for	for	ADP
fis-1247	61	7	the	the	DET
fis-1247	61	8	solution	solution	NOUN
fis-1247	61	9	accuracy	accuracy	NOUN
fis-1247	61	10	and	and	CCONJ
fis-1247	61	11	stability	stability	NOUN
fis-1247	61	12	,	,	PUNCT
fis-1247	61	13	it	it	PRON
fis-1247	61	14	plays	play	VERB
fis-1247	61	15	the	the	DET
fis-1247	61	16	role	role	NOUN
fis-1247	61	17	of	of	ADP
fis-1247	61	18	the	the	DET
fis-1247	61	19	element	element	ADJ
fis-1247	61	20	size	size	NOUN
fis-1247	61	21	in	in	ADP
fis-1247	61	22	the	the	DET
fis-1247	61	23	finite	finite	ADJ
fis-1247	61	24	element	element	NOUN
fis-1247	61	25	method	method	NOUN
fis-1247	61	26	.	.	PUNCT
fis-1247	62	1	the	the	DET
fis-1247	62	2	mm	mm	PROPN
fis-1247	62	3	is	be	AUX
fis-1247	62	4	employed	employ	VERB
fis-1247	62	5	to	to	PART
fis-1247	62	6	overcome	overcome	VERB
fis-1247	62	7	the	the	DET
fis-1247	62	8	problem	problem	NOUN
fis-1247	62	9	of	of	ADP
fis-1247	62	10	computational	computational	ADJ
fis-1247	62	11	cost	cost	NOUN
fis-1247	62	12	associated	associate	VERB
fis-1247	62	13	with	with	ADP
fis-1247	62	14	the	the	DET
fis-1247	62	15	use	use	NOUN
fis-1247	62	16	of	of	ADP
fis-1247	62	17	a	a	DET
fis-1247	62	18	classical	classical	ADJ
fis-1247	62	19	fem	fem	NOUN
fis-1247	62	20	analysis	analysis	NOUN
fis-1247	62	21	at	at	ADP
fis-1247	62	22	the	the	DET
fis-1247	62	23	meso	meso	NOUN
fis-1247	62	24	-	-	PUNCT
fis-1247	62	25	scale	scale	NOUN
fis-1247	62	26	.	.	PUNCT
fis-1247	63	1	this	this	DET
fis-1247	63	2	method	method	NOUN
fis-1247	63	3	is	be	AUX
fis-1247	63	4	also	also	ADV
fis-1247	63	5	able	able	ADJ
fis-1247	63	6	to	to	PART
fis-1247	63	7	easily	easily	ADV
fis-1247	63	8	treat	treat	VERB
fis-1247	63	9	the	the	DET
fis-1247	63	10	problem	problem	NOUN
fis-1247	63	11	of	of	ADP
fis-1247	63	12	crack	crack	VERB
fis-1247	63	13	formation	formation	NOUN
fis-1247	63	14	and	and	CCONJ
fis-1247	63	15	propagation	propagation	NOUN
fis-1247	63	16	.	.	PUNCT
fis-1247	64	1	it	it	PRON
fis-1247	64	2	will	will	AUX
fis-1247	64	3	therefore	therefore	ADV
fis-1247	64	4	be	be	AUX
fis-1247	64	5	applied	apply	VERB
fis-1247	64	6	to	to	PART
fis-1247	64	7	describe	describe	VERB
fis-1247	64	8	crack	crack	VERB
fis-1247	64	9	formation	formation	NOUN
fis-1247	64	10	and	and	CCONJ
fis-1247	64	11	propagation	propagation	NOUN
fis-1247	64	12	in	in	ADP
fis-1247	64	13	the	the	DET
fis-1247	64	14	brick	brick	NOUN
fis-1247	64	15	,	,	PUNCT
fis-1247	64	16	that	that	PRON
fis-1247	64	17	is	be	AUX
fis-1247	64	18	one	one	NUM
fis-1247	64	19	of	of	ADP
fis-1247	64	20	the	the	DET
fis-1247	64	21	future	future	ADJ
fis-1247	64	22	developments	development	NOUN
fis-1247	64	23	of	of	ADP
fis-1247	64	24	the	the	DET
fis-1247	64	25	present	present	ADJ
fis-1247	64	26	work	work	NOUN
fis-1247	64	27	.	.	PUNCT
fis-1247	65	1	another	another	DET
fis-1247	65	2	advantage	advantage	NOUN
fis-1247	65	3	is	be	AUX
fis-1247	65	4	related	relate	VERB
fis-1247	65	5	to	to	ADP
fis-1247	65	6	the	the	DET
fis-1247	65	7	possibility	possibility	NOUN
fis-1247	65	8	to	to	PART
fis-1247	65	9	use	use	VERB
fis-1247	65	10	higher	high	ADJ
fis-1247	65	11	-	-	PUNCT
fis-1247	65	12	order	order	NOUN
fis-1247	65	13	continuous	continuous	ADJ
fis-1247	65	14	weight	weight	NOUN
fis-1247	65	15	functions	function	NOUN
fis-1247	65	16	.	.	PUNCT
fis-1247	66	1	the	the	DET
fis-1247	66	2	macro	macro	ADJ
fis-1247	66	3	-	-	NOUN
fis-1247	66	4	scale	scale	ADJ
fis-1247	66	5	consistent	consistent	ADJ
fis-1247	66	6	tangent	tangent	NOUN
fis-1247	66	7	stiffness	stiffness	NOUN
fis-1247	66	8	matrix	matrix	NOUN
fis-1247	66	9	and	and	CCONJ
fis-1247	66	10	localization	localization	NOUN
fis-1247	66	11	of	of	ADP
fis-1247	66	12	deformation	deformation	NOUN
fis-1247	66	13	are	be	AUX
fis-1247	66	14	derived	derive	VERB
fis-1247	66	15	.	.	PUNCT
fis-1247	67	1	numerical	numerical	ADJ
fis-1247	67	2	examples	example	NOUN
fis-1247	67	3	show	show	VERB
fis-1247	67	4	the	the	DET
fis-1247	67	5	behavior	behavior	NOUN
fis-1247	67	6	of	of	ADP
fis-1247	67	7	the	the	DET
fis-1247	67	8	uc	uc	NOUN
fis-1247	67	9	and	and	CCONJ
fis-1247	67	10	results	result	NOUN
fis-1247	67	11	of	of	ADP
fis-1247	67	12	localization	localization	NOUN
fis-1247	67	13	for	for	ADP
fis-1247	67	14	two	two	NUM
fis-1247	67	15	different	different	ADJ
fis-1247	67	16	cases	case	NOUN
fis-1247	67	17	,	,	PUNCT
fis-1247	67	18	i.e.	i.e.	X
fis-1247	67	19	when	when	SCONJ
fis-1247	67	20	boundary	boundary	ADJ
fis-1247	67	21	displacements	displacement	NOUN
fis-1247	67	22	enslave	enslave	VERB
fis-1247	67	23	the	the	DET
fis-1247	67	24	uc	uc	NOUN
fis-1247	67	25	to	to	ADP
fis-1247	67	26	normal	normal	ADJ
fis-1247	67	27	and	and	CCONJ
fis-1247	67	28	shear	shear	NOUN
fis-1247	67	29	strains	strain	NOUN
fis-1247	67	30	.	.	PUNCT
fis-1247	68	1	the	the	DET
fis-1247	68	2	computational	computational	ADJ
fis-1247	68	3	homogenization	homogenization	NOUN
fis-1247	68	4	(	(	PUNCT
fis-1247	68	5	ch	ch	NOUN
fis-1247	68	6	)	)	PUNCT
fis-1247	68	7	scheme	scheme	NOUN
fis-1247	68	8	et	et	PRON
fis-1247	68	9	us	we	PRON
fis-1247	68	10	consider	consider	VERB
fis-1247	68	11	,	,	PUNCT
fis-1247	68	12	in	in	ADP
fis-1247	68	13	the	the	DET
fis-1247	68	14	euclidean	euclidean	ADJ
fis-1247	68	15	space	space	NOUN
fis-1247	68	16	3	3	VERB
fis-1247	68	17	referred	refer	VERB
fis-1247	68	18	to	to	ADP
fis-1247	68	19	the	the	DET
fis-1247	68	20	orthonormal	orthonormal	ADJ
fis-1247	68	21	frame	frame	NOUN
fis-1247	68	22	1	1	NUM
fis-1247	68	23	2	2	NUM
fis-1247	68	24	3	3	NUM
fis-1247	68	25	(	(	PUNCT
fis-1247	68	26	,	,	PUNCT
fis-1247	68	27	,	,	PUNCT
fis-1247	68	28	,	,	PUNCT
fis-1247	68	29	)	)	PUNCT
fis-1247	69	1	o	o	NOUN
fis-1247	70	1	i	i	PRON
fis-1247	70	2	i	i	PRON
fis-1247	71	1	i	i	PRON
fis-1247	71	2	,	,	PUNCT
fis-1247	71	3	a	a	DET
fis-1247	71	4	structure	structure	NOUN
fis-1247	71	5			PROPN
fis-1247	71	6	constituted	constitute	VERB
fis-1247	71	7	by	by	ADP
fis-1247	71	8	an	an	DET
fis-1247	71	9	heterogeneous	heterogeneous	ADJ
fis-1247	71	10	material	material	NOUN
fis-1247	71	11	,	,	PUNCT
fis-1247	71	12	at	at	ADP
fis-1247	71	13	the	the	DET
fis-1247	71	14	mesoscale	mesoscale	NOUN
fis-1247	71	15	(	(	PUNCT
fis-1247	71	16	fig	fig	NOUN
fis-1247	71	17	.	.	NOUN
fis-1247	71	18	1	1	NUM
fis-1247	71	19	)	)	PUNCT
fis-1247	71	20	.	.	PUNCT
fis-1247	72	1	l	l	NOUN
fis-1247	72	2	g.	g.	PROPN
fis-1247	72	3	gianbanco	gianbanco	PROPN
fis-1247	72	4	et	et	PROPN
fis-1247	72	5	alii	alii	PROPN
fis-1247	72	6	,	,	PUNCT
fis-1247	72	7	frattura	frattura	PROPN
fis-1247	72	8	ed	ed	PROPN
fis-1247	72	9	integrità	integrità	PROPN
fis-1247	72	10	strutturale	strutturale	PROPN
fis-1247	72	11	,	,	PUNCT
fis-1247	72	12	29	29	NUM
fis-1247	72	13	(	(	PUNCT
fis-1247	72	14	2014	2014	NUM
fis-1247	72	15	)	)	PUNCT
fis-1247	72	16	150	150	NUM
fis-1247	72	17	-	-	SYM
fis-1247	72	18	165	165	NUM
fis-1247	72	19	;	;	PUNCT
fis-1247	72	20	doi	doi	NOUN
fis-1247	72	21	:	:	PUNCT
fis-1247	72	22	10.3221	10.3221	NUM
fis-1247	72	23	/	/	SYM
fis-1247	72	24	igf	igf	PROPN
fis-1247	72	25	-	-	PUNCT
fis-1247	72	26	esis.29.14	esis.29.14	PROPN
fis-1247	72	27	152	152	NUM
fis-1247	72	28	figure	figure	NOUN
fis-1247	72	29	1	1	NUM
fis-1247	72	30	:	:	PUNCT
fis-1247	72	31	mechanical	mechanical	ADJ
fis-1247	72	32	scheme	scheme	NOUN
fis-1247	72	33	of	of	ADP
fis-1247	72	34	a	a	DET
fis-1247	72	35	structure	structure	NOUN
fis-1247	72	36	constituted	constitute	VERB
fis-1247	72	37	by	by	ADP
fis-1247	72	38	an	an	DET
fis-1247	72	39	heterogeneous	heterogeneous	ADJ
fis-1247	72	40	material	material	NOUN
fis-1247	72	41	.	.	PUNCT
fis-1247	73	1	our	our	PRON
fis-1247	73	2	aim	aim	NOUN
fis-1247	73	3	is	be	AUX
fis-1247	73	4	to	to	PART
fis-1247	73	5	derive	derive	VERB
fis-1247	73	6	the	the	DET
fis-1247	73	7	structure	structure	NOUN
fis-1247	73	8	-	-	PUNCT
fis-1247	73	9	properties	property	NOUN
fis-1247	73	10	,	,	PUNCT
fis-1247	73	11	or	or	CCONJ
fis-1247	73	12	the	the	DET
fis-1247	73	13	properties	property	NOUN
fis-1247	73	14	at	at	ADP
fis-1247	73	15	the	the	DET
fis-1247	73	16	macroscopic	macroscopic	ADJ
fis-1247	73	17	level	level	NOUN
fis-1247	73	18	(	(	PUNCT
fis-1247	73	19	m	m	NOUN
fis-1247	73	20	)	)	PUNCT
fis-1247	73	21	,	,	PUNCT
fis-1247	73	22	based	base	VERB
fis-1247	73	23	on	on	ADP
fis-1247	73	24	the	the	DET
fis-1247	73	25	kinematical	kinematical	ADJ
fis-1247	73	26	and	and	CCONJ
fis-1247	73	27	mechanical	mechanical	ADJ
fis-1247	73	28	phenomena	phenomenon	NOUN
fis-1247	73	29	occurring	occur	VERB
fis-1247	73	30	at	at	ADP
fis-1247	73	31	the	the	DET
fis-1247	73	32	mesoscale	mesoscale	ADJ
fis-1247	73	33	level	level	NOUN
fis-1247	73	34	(	(	PUNCT
fis-1247	73	35	m	m	NOUN
fis-1247	73	36	)	)	PUNCT
fis-1247	73	37	of	of	ADP
fis-1247	73	38	the	the	DET
fis-1247	73	39	heterogeneous	heterogeneous	ADJ
fis-1247	73	40	material	material	NOUN
fis-1247	73	41	.	.	PUNCT
fis-1247	74	1	the	the	DET
fis-1247	74	2	boundary	boundary	NOUN
fis-1247	74	3	of	of	ADP
fis-1247	74	4	the	the	DET
fis-1247	74	5	structure	structure	NOUN
fis-1247	74	6	is	be	AUX
fis-1247	74	7	divided	divide	VERB
fis-1247	74	8	in	in	ADP
fis-1247	74	9	two	two	NUM
fis-1247	74	10	parts	part	NOUN
fis-1247	74	11	u	u	NOUN
fis-1247	74	12	and	and	CCONJ
fis-1247	74	13	t	t	PRON
fis-1247	74	14	where	where	SCONJ
fis-1247	74	15	kinematic	kinematic	ADJ
fis-1247	74	16	and	and	CCONJ
fis-1247	74	17	loading	loading	NOUN
fis-1247	74	18	conditions	condition	NOUN
fis-1247	74	19	are	be	AUX
fis-1247	74	20	specified	specify	VERB
fis-1247	74	21	,	,	PUNCT
fis-1247	74	22	respectively	respectively	ADV
fis-1247	74	23	.	.	PUNCT
fis-1247	75	1	the	the	DET
fis-1247	75	2	external	external	ADJ
fis-1247	75	3	actions	action	NOUN
fis-1247	75	4	are	be	AUX
fis-1247	75	5	the	the	DET
fis-1247	75	6	body	body	NOUN
fis-1247	75	7	force	force	NOUN
fis-1247	75	8	f	f	PROPN
fis-1247	75	9	for	for	ADP
fis-1247	75	10	unit	unit	NOUN
fis-1247	75	11	volume	volume	NOUN
fis-1247	75	12	and	and	CCONJ
fis-1247	75	13	the	the	DET
fis-1247	75	14	surface	surface	NOUN
fis-1247	75	15	tractions	traction	NOUN
fis-1247	75	16	t	t	NOUN
fis-1247	75	17	.	.	PUNCT
fis-1247	76	1	the	the	DET
fis-1247	76	2	structural	structural	ADJ
fis-1247	76	3	response	response	NOUN
fis-1247	76	4	at	at	ADP
fis-1247	76	5	the	the	DET
fis-1247	76	6	macroscopic	macroscopic	ADJ
fis-1247	76	7	level	level	NOUN
fis-1247	76	8	is	be	AUX
fis-1247	76	9	given	give	VERB
fis-1247	76	10	by	by	ADP
fis-1247	76	11	the	the	DET
fis-1247	76	12	displacement	displacement	ADJ
fis-1247	76	13	mu	mu	NOUN
fis-1247	76	14	,	,	PUNCT
fis-1247	76	15	strains	strain	VERB
fis-1247	76	16	mε	mε	NOUN
fis-1247	76	17	and	and	CCONJ
fis-1247	76	18	stress	stress	VERB
fis-1247	76	19	mσ	mσ	PROPN
fis-1247	76	20	fields	field	NOUN
fis-1247	76	21	.	.	PUNCT
fis-1247	77	1	the	the	DET
fis-1247	77	2	equilibrium	equilibrium	NOUN
fis-1247	77	3	of	of	ADP
fis-1247	77	4	the	the	DET
fis-1247	77	5	structure	structure	NOUN
fis-1247	77	6	can	can	AUX
fis-1247	77	7	be	be	AUX
fis-1247	77	8	assessed	assess	VERB
fis-1247	77	9	in	in	ADP
fis-1247	77	10	a	a	DET
fis-1247	77	11	weak	weak	ADJ
fis-1247	77	12	form	form	NOUN
fis-1247	77	13	making	make	VERB
fis-1247	77	14	use	use	NOUN
fis-1247	77	15	of	of	ADP
fis-1247	77	16	the	the	DET
fis-1247	77	17	principle	principle	NOUN
fis-1247	77	18	of	of	ADP
fis-1247	77	19	virtual	virtual	ADJ
fis-1247	77	20	displacement	displacement	NOUN
fis-1247	77	21	(	(	PUNCT
fis-1247	77	22	pvd	pvd	PROPN
fis-1247	77	23	)	)	PUNCT
fis-1247	77	24	,	,	PUNCT
fis-1247	77	25	thus	thus	ADV
fis-1247	77	26	t	t	X
fis-1247	77	27	t	t	PROPN
fis-1247	77	28	t	t	PROPN
fis-1247	77	29	t	t	PROPN
fis-1247	77	30	m	m	VERB
fis-1247	77	31	m	m	VERB
fis-1247	77	32	m	m	PROPN
fis-1247	77	33	md	md	PROPN
fis-1247	77	34	d	d	NOUN
fis-1247	78	1	d	d	PROPN
fis-1247	79	1			PROPN
fis-1247	79	2			NUM
fis-1247	79	3			PROPN
fis-1247	79	4			VERB
fis-1247	79	5			PROPN
fis-1247	79	6			PROPN
fis-1247	79	7			PUNCT
fis-1247	79	8			PUNCT
fis-1247	79	9			NUM
fis-1247	79	10			PROPN
fis-1247	79	11			NOUN
fis-1247	79	12	f	f	PUNCT
fis-1247	79	13	u	u	NOUN
fis-1247	79	14	t	t	PROPN
fis-1247	79	15	u	u	NOUN
fis-1247	79	16	σ	σ	PROPN
fis-1247	79	17	ε	ε	PROPN
fis-1247	79	18	,	,	PUNCT
fis-1247	79	19	(	(	PUNCT
fis-1247	79	20	1	1	X
fis-1247	79	21	)	)	PUNCT
fis-1247	79	22	where	where	SCONJ
fis-1247	79	23	m	m	NOUN
fis-1247	79	24	ε	ε	PROPN
fis-1247	79	25	are	be	AUX
fis-1247	79	26	the	the	DET
fis-1247	79	27	virtual	virtual	ADJ
fis-1247	79	28	strains	strain	NOUN
fis-1247	79	29	satisfying	satisfy	VERB
fis-1247	79	30	the	the	DET
fis-1247	79	31	following	follow	VERB
fis-1247	79	32	kinematical	kinematical	ADJ
fis-1247	79	33	compatibility	compatibility	NOUN
fis-1247	79	34	conditions	condition	NOUN
fis-1247	79	35	expressed	express	VERB
fis-1247	79	36	under	under	ADP
fis-1247	79	37	the	the	DET
fis-1247	79	38	small	small	ADJ
fis-1247	79	39	displacement	displacement	ADJ
fis-1247	79	40	hypothesis	hypothesis	NOUN
fis-1247	79	41	:	:	PUNCT
fis-1247	79	42	m	m	VERB
fis-1247	79	43	m	m	VERB
fis-1247	79	44	in	in	ADJ
fis-1247	79	45			PROPN
fis-1247	79	46	ε	ε	VERB
fis-1247	79	47	c	c	PROPN
fis-1247	79	48	u	u	NOUN
fis-1247	79	49	(	(	PUNCT
fis-1247	79	50	2	2	NUM
fis-1247	79	51	)	)	PUNCT
fis-1247	79	52	with	with	ADP
fis-1247	79	53	c	c	PROPN
fis-1247	79	54	the	the	DET
fis-1247	79	55	kinematical	kinematical	ADJ
fis-1247	79	56	compatibility	compatibility	NOUN
fis-1247	79	57	matrix	matrix	NOUN
fis-1247	79	58	.	.	PUNCT
fis-1247	80	1	the	the	DET
fis-1247	80	2	above	above	ADJ
fis-1247	80	3	reported	report	VERB
fis-1247	80	4	variational	variational	ADJ
fis-1247	80	5	formulation	formulation	NOUN
fis-1247	80	6	of	of	ADP
fis-1247	80	7	the	the	DET
fis-1247	80	8	structure	structure	NOUN
fis-1247	80	9	equilibrium	equilibrium	NOUN
fis-1247	80	10	can	can	AUX
fis-1247	80	11	be	be	AUX
fis-1247	80	12	solved	solve	VERB
fis-1247	80	13	in	in	ADP
fis-1247	80	14	an	an	DET
fis-1247	80	15	approximated	approximated	ADJ
fis-1247	80	16	way	way	NOUN
fis-1247	80	17	making	make	VERB
fis-1247	80	18	use	use	NOUN
fis-1247	80	19	of	of	ADP
fis-1247	80	20	the	the	DET
fis-1247	80	21	finite	finite	ADJ
fis-1247	80	22	element	element	NOUN
fis-1247	80	23	method	method	NOUN
fis-1247	80	24	.	.	PUNCT
fis-1247	81	1	the	the	DET
fis-1247	81	2	continuous	continuous	ADJ
fis-1247	81	3	structure	structure	NOUN
fis-1247	81	4	is	be	AUX
fis-1247	81	5	discretized	discretize	VERB
fis-1247	81	6	in	in	ADP
fis-1247	81	7	a	a	DET
fis-1247	81	8	finite	finite	ADJ
fis-1247	81	9	number	number	NOUN
fis-1247	81	10	of	of	ADP
fis-1247	81	11	subdomains	subdomain	NOUN
fis-1247	81	12	or	or	CCONJ
fis-1247	81	13	elements	element	NOUN
fis-1247	81	14	e	e	PROPN
fis-1247	81	15	(	(	PUNCT
fis-1247	81	16	fig	fig	NOUN
fis-1247	81	17	.	.	PUNCT
fis-1247	82	1	2	2	NUM
fis-1247	82	2	)	)	PUNCT
fis-1247	82	3	.	.	PUNCT
fis-1247	83	1	the	the	DET
fis-1247	83	2	equilibrium	equilibrium	NOUN
fis-1247	83	3	of	of	ADP
fis-1247	83	4	the	the	DET
fis-1247	83	5	discretized	discretized	ADJ
fis-1247	83	6	structure	structure	NOUN
fis-1247	83	7	requires	require	VERB
fis-1247	83	8	the	the	DET
fis-1247	83	9	equilibrium	equilibrium	NOUN
fis-1247	83	10	of	of	ADP
fis-1247	83	11	all	all	DET
fis-1247	83	12	the	the	DET
fis-1247	83	13	elements	element	NOUN
fis-1247	83	14	.	.	PUNCT
fis-1247	84	1	it	it	PRON
fis-1247	84	2	can	can	AUX
fis-1247	84	3	be	be	AUX
fis-1247	84	4	expressed	express	VERB
fis-1247	84	5	in	in	ADP
fis-1247	84	6	a	a	DET
fis-1247	84	7	weak	weak	ADJ
fis-1247	84	8	form	form	NOUN
fis-1247	84	9	as	as	SCONJ
fis-1247	84	10	follows	follow	VERB
fis-1247	84	11	:	:	PUNCT
fis-1247	84	12	e	e	X
fis-1247	84	13	te	te	PROPN
fis-1247	84	14	e	e	PROPN
fis-1247	84	15	t	t	PROPN
fis-1247	84	16	t	t	PROPN
fis-1247	84	17	t	t	PROPN
fis-1247	84	18	m	m	VERB
fis-1247	84	19	m	m	VERB
fis-1247	84	20	m	m	PROPN
fis-1247	84	21	md	md	PROPN
fis-1247	84	22	d	d	NOUN
fis-1247	84	23	d	d	PROPN
fis-1247	85	1			PROPN
fis-1247	85	2			NUM
fis-1247	85	3			PROPN
fis-1247	85	4			VERB
fis-1247	85	5			PROPN
fis-1247	85	6			PROPN
fis-1247	85	7			PUNCT
fis-1247	85	8			PUNCT
fis-1247	85	9			NUM
fis-1247	85	10			PROPN
fis-1247	85	11			NOUN
fis-1247	85	12	f	f	PUNCT
fis-1247	85	13	u	u	NOUN
fis-1247	85	14	t	t	NOUN
fis-1247	85	15	u	u	NOUN
fis-1247	85	16	σ	σ	PROPN
fis-1247	85	17	ε	ε	PROPN
fis-1247	85	18	.	.	PUNCT
fis-1247	86	1	(	(	PUNCT
fis-1247	86	2	3	3	X
fis-1247	86	3	)	)	PUNCT
fis-1247	86	4	the	the	DET
fis-1247	86	5	displacement	displacement	NOUN
fis-1247	86	6	at	at	ADP
fis-1247	86	7	any	any	DET
fis-1247	86	8	point	point	NOUN
fis-1247	86	9	within	within	ADP
fis-1247	86	10	the	the	DET
fis-1247	86	11	element	element	NOUN
fis-1247	86	12	is	be	AUX
fis-1247	86	13	approximated	approximate	VERB
fis-1247	86	14	making	make	VERB
fis-1247	86	15	use	use	NOUN
fis-1247	86	16	of	of	ADP
fis-1247	86	17	appropriate	appropriate	ADJ
fis-1247	86	18	interpolation	interpolation	NOUN
fis-1247	86	19	functions	function	NOUN
fis-1247	86	20	:	:	PUNCT
fis-1247	86	21	m	m	VERB
fis-1247	86	22	m	m	VERB
fis-1247	86	23	u	u	NUM
fis-1247	87	1	n	n	CCONJ
fis-1247	87	2	u	u	NOUN
fis-1247	87	3	,	,	PUNCT
fis-1247	87	4	(	(	PUNCT
fis-1247	87	5	4	4	X
fis-1247	87	6	)	)	PUNCT
fis-1247	87	7	being	be	AUX
fis-1247	87	8	n	n	PRON
fis-1247	87	9	the	the	DET
fis-1247	87	10	matrix	matrix	NOUN
fis-1247	87	11	of	of	ADP
fis-1247	87	12	interpolation	interpolation	NOUN
fis-1247	87	13	functions	function	NOUN
fis-1247	87	14	and	and	CCONJ
fis-1247	87	15	mu	mu	NOUN
fis-1247	87	16	the	the	DET
fis-1247	87	17	virtual	virtual	ADJ
fis-1247	87	18	displacements	displacement	NOUN
fis-1247	87	19	vector	vector	NOUN
fis-1247	87	20	of	of	ADP
fis-1247	87	21	the	the	DET
fis-1247	87	22	element	element	NOUN
fis-1247	87	23	nodes	nod	VERB
fis-1247	87	24	.	.	PUNCT
fis-1247	88	1	in	in	ADP
fis-1247	88	2	the	the	DET
fis-1247	88	3	ch	ch	NOUN
fis-1247	88	4	methods	method	NOUN
fis-1247	88	5	,	,	PUNCT
fis-1247	88	6	the	the	DET
fis-1247	88	7	macroscopic	macroscopic	ADJ
fis-1247	88	8	response	response	NOUN
fis-1247	88	9	is	be	AUX
fis-1247	88	10	evaluated	evaluate	VERB
fis-1247	88	11	as	as	ADP
fis-1247	88	12	the	the	DET
fis-1247	88	13	average	average	NOUN
fis-1247	88	14	of	of	ADP
fis-1247	88	15	the	the	DET
fis-1247	88	16	response	response	NOUN
fis-1247	88	17	of	of	ADP
fis-1247	88	18	the	the	DET
fis-1247	88	19	uc	uc	PROPN
fis-1247	88	20	.	.	PUNCT
fis-1247	89	1	the	the	DET
fis-1247	89	2	scale	scale	NOUN
fis-1247	89	3	transition	transition	NOUN
fis-1247	89	4	is	be	AUX
fis-1247	89	5	based	base	VERB
fis-1247	89	6	on	on	ADP
fis-1247	89	7	the	the	DET
fis-1247	89	8	hill	hill	NOUN
fis-1247	89	9	-	-	PUNCT
fis-1247	89	10	mandel	mandel	PROPN
fis-1247	89	11	principle	principle	NOUN
fis-1247	89	12	[	[	X
fis-1247	89	13	20	20	NUM
fis-1247	89	14	,	,	PUNCT
fis-1247	89	15	21	21	NUM
fis-1247	89	16	]	]	PUNCT
fis-1247	89	17	which	which	PRON
fis-1247	89	18	establishes	establish	VERB
fis-1247	89	19	that	that	SCONJ
fis-1247	89	20	the	the	DET
fis-1247	89	21	virtual	virtual	ADJ
fis-1247	89	22	work	work	NOUN
fis-1247	89	23	density	density	NOUN
fis-1247	89	24	at	at	ADP
fis-1247	89	25	the	the	DET
fis-1247	89	26	macro	macro	NOUN
fis-1247	89	27	-	-	NOUN
fis-1247	89	28	scale	scale	NOUN
fis-1247	89	29	must	must	AUX
fis-1247	89	30	be	be	AUX
fis-1247	89	31	equal	equal	ADJ
fis-1247	89	32	the	the	DET
fis-1247	89	33	volume	volume	NOUN
fis-1247	89	34	average	average	NOUN
fis-1247	89	35	of	of	ADP
fis-1247	89	36	the	the	DET
fis-1247	89	37	virtual	virtual	ADJ
fis-1247	89	38	work	work	NOUN
fis-1247	89	39	at	at	ADP
fis-1247	89	40	the	the	DET
fis-1247	89	41	meso	meso	NOUN
fis-1247	89	42	-	-	PUNCT
fis-1247	89	43	scale	scale	NOUN
fis-1247	89	44	:	:	PUNCT
fis-1247	89	45	1	1	NUM
fis-1247	89	46	uc	uc	INTJ
fis-1247	89	47	t	t	PROPN
fis-1247	89	48	t	t	PROPN
fis-1247	89	49	m	m	VERB
fis-1247	89	50	m	m	VERB
fis-1247	89	51	m	m	VERB
fis-1247	89	52	m	m	VERB
fis-1247	89	53	uc	uc	ADJ
fis-1247	89	54	d	d	PROPN
fis-1247	90	1			NUM
fis-1247	90	2			PROPN
fis-1247	90	3			PROPN
fis-1247	90	4			PROPN
fis-1247	90	5			PROPN
fis-1247	90	6	σ	σ	PROPN
fis-1247	90	7	ε	ε	PROPN
fis-1247	90	8	σ	σ	X
fis-1247	90	9	ε	ε	PROPN
fis-1247	90	10	.	.	PUNCT
fis-1247	91	1	(	(	PUNCT
fis-1247	91	2	5	5	NUM
fis-1247	91	3	)	)	PUNCT
fis-1247	91	4	from	from	ADP
fis-1247	91	5	eq	eq	ADP
fis-1247	91	6	.	.	PUNCT
fis-1247	92	1	(	(	PUNCT
fis-1247	92	2	3	3	NUM
fis-1247	92	3	)	)	PUNCT
fis-1247	92	4	and	and	CCONJ
fis-1247	92	5	(	(	PUNCT
fis-1247	92	6	5	5	X
fis-1247	92	7	)	)	PUNCT
fis-1247	92	8	it	it	PRON
fis-1247	92	9	comes	come	VERB
fis-1247	92	10	out	out	ADP
fis-1247	92	11	that	that	SCONJ
fis-1247	92	12	the	the	DET
fis-1247	92	13	equilibrium	equilibrium	NOUN
fis-1247	92	14	of	of	ADP
fis-1247	92	15	the	the	DET
fis-1247	92	16	discretized	discretized	ADJ
fis-1247	92	17	structure	structure	NOUN
fis-1247	92	18	constituted	constitute	VERB
fis-1247	92	19	by	by	ADP
fis-1247	92	20	the	the	DET
fis-1247	92	21	heterogeneous	heterogeneous	ADJ
fis-1247	92	22	material	material	NOUN
fis-1247	92	23	can	can	AUX
fis-1247	92	24	be	be	AUX
fis-1247	92	25	solved	solve	VERB
fis-1247	92	26	if	if	SCONJ
fis-1247	92	27	the	the	DET
fis-1247	92	28	equilibrium	equilibrium	NOUN
fis-1247	92	29	of	of	ADP
fis-1247	92	30	the	the	DET
fis-1247	92	31	uc	uc	PROPN
fis-1247	92	32	is	be	AUX
fis-1247	92	33	assessed	assess	VERB
fis-1247	92	34	under	under	ADP
fis-1247	92	35	specific	specific	ADJ
fis-1247	92	36	boundary	boundary	ADJ
fis-1247	92	37	conditions	condition	NOUN
fis-1247	92	38	.	.	PUNCT
fis-1247	93	1	the	the	DET
fis-1247	93	2	downscaling	downscale	VERB
fis-1247	93	3	operation	operation	NOUN
fis-1247	93	4	,	,	PUNCT
fis-1247	93	5	also	also	ADV
fis-1247	93	6	known	know	VERB
fis-1247	93	7	as	as	ADP
fis-1247	93	8	macro	macro	ADJ
fis-1247	93	9	-	-	ADJ
fis-1247	93	10	meso	meso	ADJ
fis-1247	93	11	transition	transition	NOUN
fis-1247	93	12	,	,	PUNCT
fis-1247	93	13	consists	consist	VERB
fis-1247	93	14	in	in	ADP
fis-1247	93	15	the	the	DET
fis-1247	93	16	evaluation	evaluation	NOUN
fis-1247	93	17	of	of	ADP
fis-1247	93	18	the	the	DET
fis-1247	93	19	boundary	boundary	ADJ
fis-1247	93	20	conditions	condition	NOUN
fis-1247	93	21	to	to	PART
fis-1247	93	22	be	be	AUX
fis-1247	93	23	applied	apply	VERB
fis-1247	93	24	to	to	ADP
fis-1247	93	25	the	the	DET
fis-1247	93	26	uc	uc	PROPN
fis-1247	93	27	.	.	PROPN
fis-1247	94	1	in	in	ADP
fis-1247	94	2	the	the	DET
fis-1247	94	3	first	first	ADJ
fis-1247	94	4	-	-	PUNCT
fis-1247	94	5	order	order	NOUN
fis-1247	94	6	computational	computational	ADJ
fis-1247	94	7	homogenization	homogenization	NOUN
fis-1247	94	8	the	the	DET
fis-1247	94	9	macro	macro	ADJ
fis-1247	94	10	-	-	ADJ
fis-1247	94	11	meso	meso	NOUN
fis-1247	94	12	transition	transition	NOUN
fis-1247	94	13	is	be	AUX
fis-1247	94	14	usually	usually	ADV
fis-1247	94	15	”	"	PUNCT
fis-1247	94	16	deformation	deformation	NOUN
fis-1247	94	17	driven	drive	VERB
fis-1247	94	18	”	"	PUNCT
fis-1247	94	19	because	because	SCONJ
fis-1247	94	20	this	this	DET
fis-1247	94	21	procedure	procedure	NOUN
fis-1247	94	22	can	can	AUX
fis-1247	94	23	be	be	AUX
fis-1247	94	24	directly	directly	ADV
fis-1247	94	25	fit	fit	ADJ
fis-1247	94	26	into	into	ADP
fis-1247	94	27	a	a	DET
fis-1247	94	28	displacement	displacement	NOUN
fis-1247	94	29	-	-	PUNCT
fis-1247	94	30	based	base	VERB
fis-1247	94	31	finite	finite	ADJ
fis-1247	94	32	element	element	NOUN
fis-1247	94	33	framework	framework	NOUN
fis-1247	94	34	.	.	PUNCT
fis-1247	95	1	therefore	therefore	ADV
fis-1247	95	2	,	,	PUNCT
fis-1247	95	3	the	the	DET
fis-1247	95	4	macroscopic	macroscopic	ADJ
fis-1247	95	5	g.	g.	PROPN
fis-1247	95	6	gianbanco	gianbanco	PROPN
fis-1247	95	7	et	et	PROPN
fis-1247	95	8	alii	alii	PROPN
fis-1247	95	9	,	,	PUNCT
fis-1247	95	10	frattura	frattura	PROPN
fis-1247	95	11	ed	ed	PROPN
fis-1247	95	12	integrità	integrità	PROPN
fis-1247	95	13	strutturale	strutturale	PROPN
fis-1247	95	14	,	,	PUNCT
fis-1247	95	15	29	29	NUM
fis-1247	95	16	(	(	PUNCT
fis-1247	95	17	2014	2014	NUM
fis-1247	95	18	)	)	PUNCT
fis-1247	95	19	150	150	NUM
fis-1247	95	20	-	-	SYM
fis-1247	95	21	166	166	NUM
fis-1247	95	22	;	;	PUNCT
fis-1247	95	23	doi	doi	NOUN
fis-1247	95	24	:	:	PUNCT
fis-1247	95	25	10.3221	10.3221	NUM
fis-1247	95	26	/	/	SYM
fis-1247	95	27	igf	igf	PROPN
fis-1247	95	28	-	-	PUNCT
fis-1247	95	29	esis.29.14	esis.29.14	PROPN
fis-1247	95	30	153	153	NUM
fis-1247	95	31	deformation	deformation	NOUN
fis-1247	95	32	tensor	tensor	NOUN
fis-1247	95	33	is	be	AUX
fis-1247	95	34	calculated	calculate	VERB
fis-1247	95	35	at	at	ADP
fis-1247	95	36	the	the	DET
fis-1247	95	37	material	material	NOUN
fis-1247	95	38	point	point	NOUN
fis-1247	95	39	of	of	ADP
fis-1247	95	40	the	the	DET
fis-1247	95	41	finite	finite	ADJ
fis-1247	95	42	element	element	NOUN
fis-1247	95	43	and	and	CCONJ
fis-1247	95	44	it	it	PRON
fis-1247	95	45	is	be	AUX
fis-1247	95	46	next	next	ADV
fis-1247	95	47	used	use	VERB
fis-1247	95	48	to	to	PART
fis-1247	95	49	formulate	formulate	VERB
fis-1247	95	50	the	the	DET
fis-1247	95	51	kinematical	kinematical	ADJ
fis-1247	95	52	boundary	boundary	ADJ
fis-1247	95	53	conditions	condition	NOUN
fis-1247	95	54	to	to	PART
fis-1247	95	55	be	be	AUX
fis-1247	95	56	imposed	impose	VERB
fis-1247	95	57	on	on	ADP
fis-1247	95	58	the	the	DET
fis-1247	95	59	uc	uc	PROPN
fis-1247	95	60	associated	associate	VERB
fis-1247	95	61	to	to	ADP
fis-1247	95	62	this	this	DET
fis-1247	95	63	point	point	NOUN
fis-1247	95	64	.	.	PUNCT
fis-1247	96	1	figure	figure	NOUN
fis-1247	96	2	2	2	NUM
fis-1247	96	3	:	:	PUNCT
fis-1247	96	4	mechanical	mechanical	ADJ
fis-1247	96	5	scheme	scheme	NOUN
fis-1247	96	6	of	of	ADP
fis-1247	96	7	the	the	DET
fis-1247	96	8	ch	ch	NOUN
fis-1247	96	9	strategy	strategy	NOUN
fis-1247	96	10	.	.	PUNCT
fis-1247	97	1	in	in	ADP
fis-1247	97	2	literature	literature	NOUN
fis-1247	97	3	the	the	DET
fis-1247	97	4	periodic	periodic	ADJ
fis-1247	97	5	boundary	boundary	ADJ
fis-1247	97	6	conditions	condition	NOUN
fis-1247	97	7	are	be	AUX
fis-1247	97	8	suggested	suggest	VERB
fis-1247	97	9	for	for	ADP
fis-1247	97	10	periodic	periodic	ADJ
fis-1247	97	11	materials	material	NOUN
fis-1247	97	12	.	.	PUNCT
fis-1247	98	1	in	in	ADP
fis-1247	98	2	the	the	DET
fis-1247	98	3	present	present	ADJ
fis-1247	98	4	work	work	NOUN
fis-1247	98	5	,	,	PUNCT
fis-1247	98	6	considering	consider	VERB
fis-1247	98	7	that	that	SCONJ
fis-1247	98	8	the	the	DET
fis-1247	98	9	uc	uc	ADJ
fis-1247	98	10	mechanical	mechanical	ADJ
fis-1247	98	11	response	response	NOUN
fis-1247	98	12	in	in	ADP
fis-1247	98	13	the	the	DET
fis-1247	98	14	non	non	ADJ
fis-1247	98	15	linear	linear	ADJ
fis-1247	98	16	stage	stage	NOUN
fis-1247	98	17	is	be	AUX
fis-1247	98	18	strongly	strongly	ADV
fis-1247	98	19	affected	affect	VERB
fis-1247	98	20	by	by	ADP
fis-1247	98	21	the	the	DET
fis-1247	98	22	decohesion	decohesion	NOUN
fis-1247	98	23	process	process	NOUN
fis-1247	98	24	occurring	occur	VERB
fis-1247	98	25	at	at	ADP
fis-1247	98	26	the	the	DET
fis-1247	98	27	material	material	NOUN
fis-1247	98	28	interfaces	interface	NOUN
fis-1247	98	29	,	,	PUNCT
fis-1247	98	30	firstly	firstly	ADV
fis-1247	98	31	the	the	DET
fis-1247	98	32	linear	linear	ADJ
fis-1247	98	33	boundary	boundary	ADJ
fis-1247	98	34	conditions	condition	NOUN
fis-1247	98	35	are	be	AUX
fis-1247	98	36	imposed	impose	VERB
fis-1247	98	37	to	to	ADP
fis-1247	98	38	the	the	DET
fis-1247	98	39	uc	uc	PROPN
fis-1247	98	40	,	,	PUNCT
fis-1247	98	41	thus	thus	ADV
fis-1247	98	42	onm	onm	VERB
fis-1247	98	43	m	m	NOUN
fis-1247	98	44	m	m	VERB
fis-1247	98	45	uc	uc	ADJ
fis-1247	98	46	u	u	NOUN
fis-1247	98	47	d	d	X
fis-1247	98	48	ε	ε	X
fis-1247	98	49	(	(	PUNCT
fis-1247	98	50	6	6	NUM
fis-1247	98	51	)	)	PUNCT
fis-1247	98	52	where	where	SCONJ
fis-1247	98	53	,	,	PUNCT
fis-1247	98	54	for	for	ADP
fis-1247	98	55	2d	2d	PROPN
fis-1247	98	56	applications	application	NOUN
fis-1247	98	57	:	:	PUNCT
fis-1247	98	58	0	0	NUM
fis-1247	98	59	2	2	NUM
fis-1247	98	60	0	0	NUM
fis-1247	98	61	2	2	NUM
fis-1247	98	62	m	m	NOUN
fis-1247	98	63	yx	yx	NOUN
fis-1247	98	64	xy	xy	PROPN
fis-1247	98	65			PROPN
fis-1247	98	66			X
fis-1247	98	67			X
fis-1247	99	1			X
fis-1247	99	2			NOUN
fis-1247	99	3			PROPN
fis-1247	99	4			NOUN
fis-1247	99	5			PROPN
fis-1247	99	6			PROPN
fis-1247	99	7	d	d	PROPN
fis-1247	99	8	is	be	AUX
fis-1247	99	9	a	a	DET
fis-1247	99	10	matrix	matrix	NOUN
fis-1247	99	11	that	that	PRON
fis-1247	99	12	depends	depend	VERB
fis-1247	99	13	on	on	ADP
fis-1247	99	14	the	the	DET
fis-1247	99	15	x	x	PROPN
fis-1247	99	16	-	-	NOUN
fis-1247	99	17	y	y	PROPN
fis-1247	99	18	coordinates	coordinate	NOUN
fis-1247	99	19	of	of	ADP
fis-1247	99	20	the	the	DET
fis-1247	99	21	nodal	nodal	NOUN
fis-1247	99	22	point	point	NOUN
fis-1247	99	23	once	once	ADV
fis-1247	99	24	a	a	DET
fis-1247	99	25	reference	reference	NOUN
fis-1247	99	26	system	system	NOUN
fis-1247	99	27	is	be	AUX
fis-1247	99	28	fixed	fix	VERB
fis-1247	99	29	.	.	PUNCT
fis-1247	100	1	mu	mu	NOUN
fis-1247	100	2	are	be	AUX
fis-1247	100	3	the	the	DET
fis-1247	100	4	prescribed	prescribed	ADJ
fis-1247	100	5	values	value	NOUN
fis-1247	100	6	of	of	ADP
fis-1247	100	7	the	the	DET
fis-1247	100	8	displacements	displacement	NOUN
fis-1247	100	9	for	for	ADP
fis-1247	100	10	the	the	DET
fis-1247	100	11	point	point	NOUN
fis-1247	100	12	of	of	ADP
fis-1247	100	13	position	position	NOUN
fis-1247	100	14	x	x	PUNCT
fis-1247	100	15	located	locate	VERB
fis-1247	100	16	on	on	ADP
fis-1247	100	17	the	the	DET
fis-1247	100	18	boundary	boundary	ADJ
fis-1247	100	19	uc	uc	PROPN
fis-1247	100	20	of	of	ADP
fis-1247	100	21	the	the	DET
fis-1247	100	22	uc	uc	PROPN
fis-1247	100	23	.	.	PUNCT
fis-1247	101	1	this	this	DET
fis-1247	101	2	choice	choice	NOUN
fis-1247	101	3	could	could	AUX
fis-1247	101	4	be	be	AUX
fis-1247	101	5	easily	easily	ADV
fis-1247	101	6	modified	modify	VERB
fis-1247	101	7	on	on	ADP
fis-1247	101	8	the	the	DET
fis-1247	101	9	basis	basis	NOUN
fis-1247	101	10	of	of	ADP
fis-1247	101	11	the	the	DET
fis-1247	101	12	obtained	obtain	VERB
fis-1247	101	13	numerical	numerical	ADJ
fis-1247	101	14	results	result	NOUN
fis-1247	101	15	.	.	PUNCT
fis-1247	102	1	since	since	SCONJ
fis-1247	102	2	the	the	DET
fis-1247	102	3	body	body	NOUN
fis-1247	102	4	forces	force	NOUN
fis-1247	102	5	can	can	AUX
fis-1247	102	6	be	be	AUX
fis-1247	102	7	neglected	neglect	VERB
fis-1247	102	8	and	and	CCONJ
fis-1247	102	9	the	the	DET
fis-1247	102	10	whole	whole	ADJ
fis-1247	102	11	boundary	boundary	NOUN
fis-1247	102	12	is	be	AUX
fis-1247	102	13	constrained	constrain	VERB
fis-1247	102	14	,	,	PUNCT
fis-1247	102	15	the	the	DET
fis-1247	102	16	variational	variational	ADJ
fis-1247	102	17	form	form	NOUN
fis-1247	102	18	of	of	ADP
fis-1247	102	19	the	the	DET
fis-1247	102	20	uc	uc	PROPN
fis-1247	102	21	equilibrium	equilibrium	NOUN
fis-1247	102	22	can	can	AUX
fis-1247	102	23	be	be	AUX
fis-1247	102	24	expressed	express	VERB
fis-1247	102	25	as	as	SCONJ
fis-1247	102	26	follows	follow	VERB
fis-1247	102	27	:	:	PUNCT
fis-1247	102	28	0	0	NUM
fis-1247	103	1	uc	uc	INTJ
fis-1247	103	2	t	t	PROPN
fis-1247	103	3	m	m	PROPN
fis-1247	103	4	md	md	PROPN
fis-1247	103	5			PROPN
fis-1247	103	6			PROPN
fis-1247	103	7			PROPN
fis-1247	103	8	σ	σ	PROPN
fis-1247	103	9	ε	ε	PROPN
fis-1247	103	10	(	(	PUNCT
fis-1247	103	11	7	7	NUM
fis-1247	103	12	)	)	PUNCT
fis-1247	103	13	and	and	CCONJ
fis-1247	103	14	it	it	PRON
fis-1247	103	15	has	have	VERB
fis-1247	103	16	to	to	PART
fis-1247	103	17	hold	hold	VERB
fis-1247	103	18	in	in	ADP
fis-1247	103	19	presence	presence	NOUN
fis-1247	103	20	of	of	ADP
fis-1247	103	21	the	the	DET
fis-1247	103	22	kinematical	kinematical	ADJ
fis-1247	103	23	constraint	constraint	NOUN
fis-1247	103	24	onm	onm	NOUN
fis-1247	103	25	m	m	PRON
fis-1247	103	26	uc	uc	VERB
fis-1247	103	27	u	u	NOUN
fis-1247	103	28	u	u	NOUN
fis-1247	103	29	(	(	PUNCT
fis-1247	103	30	8)	8)	NUM
fis-1247	103	31	the	the	DET
fis-1247	103	32	kinematical	kinematical	ADJ
fis-1247	103	33	constraint	constraint	NOUN
fis-1247	103	34	(	(	PUNCT
fis-1247	103	35	8)	8)	NUM
fis-1247	103	36	can	can	AUX
fis-1247	103	37	be	be	AUX
fis-1247	103	38	incorporated	incorporate	VERB
fis-1247	103	39	in	in	ADP
fis-1247	103	40	the	the	DET
fis-1247	103	41	variational	variational	ADJ
fis-1247	103	42	equality	equality	NOUN
fis-1247	103	43	(	(	PUNCT
fis-1247	103	44	7	7	X
fis-1247	103	45	)	)	PUNCT
fis-1247	103	46	making	make	VERB
fis-1247	103	47	use	use	NOUN
fis-1247	103	48	of	of	ADP
fis-1247	103	49	the	the	DET
fis-1247	103	50	lagrange	lagrange	ADJ
fis-1247	103	51	multiplier	multipli	ADJ
fis-1247	103	52	method	method	NOUN
fis-1247	103	53	,	,	PUNCT
fis-1247	103	54	thus	thus	ADV
fis-1247	103	55			NOUN
fis-1247	104	1			PUNCT
fis-1247	105	1	uc	uc	INTJ
fis-1247	106	1	uc	uc	INTJ
fis-1247	106	2	uc	uc	INTJ
fis-1247	106	3	t	t	PROPN
fis-1247	106	4	t	t	PROPN
fis-1247	106	5	t	t	PROPN
fis-1247	106	6	m	m	VERB
fis-1247	106	7	m	m	VERB
fis-1247	106	8	m	m	VERB
fis-1247	106	9	m	m	PROPN
fis-1247	106	10	md	md	PROPN
fis-1247	106	11	d	d	NOUN
fis-1247	106	12	d	d	PROPN
fis-1247	106	13			PROPN
fis-1247	106	14			NUM
fis-1247	106	15			PROPN
fis-1247	106	16			PUNCT
fis-1247	106	17			VERB
fis-1247	106	18			NUM
fis-1247	106	19			PROPN
fis-1247	106	20			PROPN
fis-1247	106	21			NUM
fis-1247	106	22			ADV
fis-1247	106	23			PROPN
fis-1247	106	24			NOUN
fis-1247	106	25	σ	σ	PUNCT
fis-1247	107	1	ε	ε	NOUN
fis-1247	107	2	r	r	NOUN
fis-1247	107	3	u	u	NOUN
fis-1247	107	4	u	u	NOUN
fis-1247	107	5	r	r	NOUN
fis-1247	107	6	u	u	NOUN
fis-1247	107	7	(	(	PUNCT
fis-1247	107	8	9	9	NUM
fis-1247	107	9	)	)	PUNCT
fis-1247	107	10	where	where	SCONJ
fis-1247	107	11	r	r	NOUN
fis-1247	107	12	is	be	AUX
fis-1247	107	13	the	the	DET
fis-1247	107	14	vector	vector	NOUN
fis-1247	107	15	of	of	ADP
fis-1247	107	16	lagrangian	lagrangian	ADJ
fis-1247	107	17	multipliers	multiplier	NOUN
fis-1247	107	18	and	and	CCONJ
fis-1247	107	19	m	m	NOUN
fis-1247	107	20	ε	ε	PROPN
fis-1247	107	21	the	the	DET
fis-1247	107	22	virtual	virtual	ADJ
fis-1247	107	23	strain	strain	NOUN
fis-1247	107	24	tensor	tensor	NOUN
fis-1247	107	25	of	of	ADP
fis-1247	107	26	the	the	DET
fis-1247	107	27	uc	uc	PROPN
fis-1247	107	28	related	relate	VERB
fis-1247	107	29	to	to	ADP
fis-1247	107	30	the	the	DET
fis-1247	107	31	virtual	virtual	ADJ
fis-1247	107	32	displacements	displacement	NOUN
fis-1247	107	33	through	through	ADP
fis-1247	107	34	the	the	DET
fis-1247	107	35	following	follow	VERB
fis-1247	107	36	compatibility	compatibility	NOUN
fis-1247	107	37	condition	condition	NOUN
fis-1247	107	38	:	:	PUNCT
fis-1247	107	39	g.	g.	PROPN
fis-1247	107	40	gianbanco	gianbanco	PROPN
fis-1247	107	41	et	et	PROPN
fis-1247	107	42	alii	alii	PROPN
fis-1247	107	43	,	,	PUNCT
fis-1247	107	44	frattura	frattura	PROPN
fis-1247	107	45	ed	ed	PROPN
fis-1247	107	46	integrità	integrità	PROPN
fis-1247	107	47	strutturale	strutturale	PROPN
fis-1247	107	48	,	,	PUNCT
fis-1247	107	49	29	29	NUM
fis-1247	107	50	(	(	PUNCT
fis-1247	107	51	2014	2014	NUM
fis-1247	107	52	)	)	PUNCT
fis-1247	107	53	150	150	NUM
fis-1247	107	54	-	-	SYM
fis-1247	107	55	165	165	NUM
fis-1247	107	56	;	;	PUNCT
fis-1247	107	57	doi	doi	NOUN
fis-1247	107	58	:	:	PUNCT
fis-1247	107	59	10.3221	10.3221	NUM
fis-1247	107	60	/	/	SYM
fis-1247	107	61	igf	igf	PROPN
fis-1247	107	62	-	-	PUNCT
fis-1247	107	63	esis.29.14	esis.29.14	PROPN
fis-1247	107	64	154	154	NUM
fis-1247	107	65	inm	inm	PROPN
fis-1247	107	66	m	m	PROPN
fis-1247	107	67	uc	uc	NOUN
fis-1247	107	68			PROPN
fis-1247	107	69	ε	ε	PROPN
fis-1247	107	70	c	c	PROPN
fis-1247	107	71	u	u	NOUN
fis-1247	107	72	(	(	PUNCT
fis-1247	107	73	10	10	NUM
fis-1247	107	74	)	)	PUNCT
fis-1247	107	75	imposing	impose	VERB
fis-1247	107	76	the	the	DET
fis-1247	107	77	hill	hill	NOUN
fis-1247	107	78	-	-	PUNCT
fis-1247	107	79	mandel	mandel	PROPN
fis-1247	107	80	principle	principle	NOUN
fis-1247	107	81	and	and	CCONJ
fis-1247	107	82	substituting	substitute	VERB
fis-1247	107	83	(	(	PUNCT
fis-1247	107	84	6	6	NUM
fis-1247	107	85	)	)	PUNCT
fis-1247	107	86	in	in	ADP
fis-1247	107	87	(	(	PUNCT
fis-1247	107	88	9	9	NUM
fis-1247	107	89	)	)	PUNCT
fis-1247	107	90	,	,	PUNCT
fis-1247	107	91	after	after	ADP
fis-1247	107	92	some	some	DET
fis-1247	107	93	algebra	algebra	NOUN
fis-1247	107	94	the	the	DET
fis-1247	107	95	following	follow	VERB
fis-1247	107	96	equation	equation	NOUN
fis-1247	107	97	is	be	AUX
fis-1247	107	98	obtained	obtain	VERB
fis-1247	107	99	:	:	PUNCT
fis-1247	107	100			NOUN
fis-1247	107	101	1	1	VERB
fis-1247	108	1	1	1	NUM
fis-1247	108	2	uc	uc	PROPN
fis-1247	108	3	uc	uc	INTJ
fis-1247	108	4	t	t	PROPN
fis-1247	108	5	t	t	PROPN
fis-1247	108	6	m	m	VERB
fis-1247	108	7	m	m	VERB
fis-1247	108	8	m	m	VERB
fis-1247	108	9	m	m	VERB
fis-1247	108	10	m	m	VERB
fis-1247	108	11	m	m	VERB
fis-1247	108	12	uc	uc	INTJ
fis-1247	108	13	uc	uc	PROPN
fis-1247	108	14	d	d	X
fis-1247	108	15	d	d	PROPN
fis-1247	108	16			NUM
fis-1247	108	17			VERB
fis-1247	108	18			VERB
fis-1247	108	19			PROPN
fis-1247	108	20			NOUN
fis-1247	108	21			PROPN
fis-1247	108	22			PUNCT
fis-1247	108	23			NUM
fis-1247	108	24			NOUN
fis-1247	108	25			PROPN
fis-1247	108	26			PROPN
fis-1247	108	27			PROPN
fis-1247	108	28			NOUN
fis-1247	108	29			PROPN
fis-1247	108	30			PROPN
fis-1247	108	31			X
fis-1247	108	32	σ	σ	PUNCT
fis-1247	109	1	d	d	NOUN
fis-1247	109	2	r	r	NOUN
fis-1247	109	3	ε	ε	PROPN
fis-1247	109	4	r	r	NOUN
fis-1247	109	5	d	d	PROPN
fis-1247	109	6	ε	ε	PROPN
fis-1247	109	7	u	u	PROPN
fis-1247	109	8	(	(	PUNCT
fis-1247	109	9	11	11	NUM
fis-1247	109	10	)	)	PUNCT
fis-1247	109	11	since	since	SCONJ
fis-1247	109	12	the	the	DET
fis-1247	109	13	previous	previous	ADJ
fis-1247	109	14	equation	equation	NOUN
fis-1247	109	15	has	have	VERB
fis-1247	109	16	to	to	PART
fis-1247	109	17	hold	hold	VERB
fis-1247	109	18	for	for	ADP
fis-1247	109	19	any	any	DET
fis-1247	109	20	value	value	NOUN
fis-1247	109	21	of	of	ADP
fis-1247	109	22			NUM
fis-1247	109	23	r	r	NOUN
fis-1247	109	24	and	and	CCONJ
fis-1247	109	25	m	m	NOUN
fis-1247	109	26	ε	ε	PROPN
fis-1247	109	27	,	,	PUNCT
fis-1247	109	28	it	it	PRON
fis-1247	109	29	provides	provide	VERB
fis-1247	109	30	the	the	DET
fis-1247	109	31	following	follow	VERB
fis-1247	109	32	conditions	condition	NOUN
fis-1247	109	33	:	:	PUNCT
fis-1247	109	34	m	m	VERB
fis-1247	109	35	m	m	VERB
fis-1247	109	36	mu	mu	X
fis-1247	109	37	d	d	X
fis-1247	109	38	ε	ε	PROPN
fis-1247	109	39	(	(	PUNCT
fis-1247	109	40	12	12	NUM
fis-1247	109	41	)	)	PUNCT
fis-1247	109	42	1	1	NUM
fis-1247	110	1	uc	uc	INTJ
fis-1247	110	2	t	t	PROPN
fis-1247	110	3	m	m	VERB
fis-1247	110	4	m	m	VERB
fis-1247	110	5	uc	uc	ADJ
fis-1247	110	6	d	d	INTJ
fis-1247	110	7			VERB
fis-1247	110	8			PROPN
fis-1247	110	9			VERB
fis-1247	110	10			NUM
fis-1247	110	11	σ	σ	PUNCT
fis-1247	111	1	d	d	NOUN
fis-1247	111	2	r	r	NOUN
fis-1247	111	3	(	(	PUNCT
fis-1247	111	4	13	13	NUM
fis-1247	111	5	)	)	PUNCT
fis-1247	111	6	eq	eq	NOUN
fis-1247	111	7	.	.	PUNCT
fis-1247	112	1	(	(	PUNCT
fis-1247	112	2	12	12	NUM
fis-1247	112	3	)	)	PUNCT
fis-1247	112	4	is	be	AUX
fis-1247	112	5	the	the	DET
fis-1247	112	6	macro	macro	ADJ
fis-1247	112	7	-	-	ADJ
fis-1247	112	8	meso	meso	NOUN
fis-1247	112	9	transition	transition	NOUN
fis-1247	112	10	condition	condition	NOUN
fis-1247	112	11	here	here	ADV
fis-1247	112	12	adopted	adopt	VERB
fis-1247	112	13	for	for	ADP
fis-1247	112	14	the	the	DET
fis-1247	112	15	multiscale	multiscale	ADJ
fis-1247	112	16	problem	problem	NOUN
fis-1247	112	17	.	.	PUNCT
fis-1247	113	1	eq	eq	ADJ
fis-1247	113	2	.	.	PUNCT
fis-1247	114	1	(	(	PUNCT
fis-1247	114	2	13	13	NUM
fis-1247	114	3	)	)	PUNCT
fis-1247	114	4	represents	represent	VERB
fis-1247	114	5	the	the	DET
fis-1247	114	6	equilibrium	equilibrium	NOUN
fis-1247	114	7	condition	condition	NOUN
fis-1247	114	8	of	of	ADP
fis-1247	114	9	the	the	DET
fis-1247	114	10	uc	uc	NOUN
fis-1247	114	11	but	but	CCONJ
fis-1247	114	12	also	also	ADV
fis-1247	114	13	relates	relate	VERB
fis-1247	114	14	the	the	DET
fis-1247	114	15	macroscopic	macroscopic	ADJ
fis-1247	114	16	stress	stress	NOUN
fis-1247	114	17	to	to	ADP
fis-1247	114	18	the	the	DET
fis-1247	114	19	mesoscopic	mesoscopic	NOUN
fis-1247	114	20	mechanical	mechanical	ADJ
fis-1247	114	21	response	response	NOUN
fis-1247	114	22	in	in	ADP
fis-1247	114	23	terms	term	NOUN
fis-1247	114	24	of	of	ADP
fis-1247	114	25	reaction	reaction	NOUN
fis-1247	114	26	forces	force	NOUN
fis-1247	114	27	arising	arise	VERB
fis-1247	114	28	along	along	ADP
fis-1247	114	29	the	the	DET
fis-1247	114	30	boundary	boundary	NOUN
fis-1247	114	31	of	of	ADP
fis-1247	114	32	the	the	DET
fis-1247	114	33	cell	cell	NOUN
fis-1247	114	34	and	and	CCONJ
fis-1247	114	35	,	,	PUNCT
fis-1247	114	36	in	in	ADP
fis-1247	114	37	this	this	DET
fis-1247	114	38	sense	sense	NOUN
fis-1247	114	39	,	,	PUNCT
fis-1247	114	40	it	it	PRON
fis-1247	114	41	can	can	AUX
fis-1247	114	42	be	be	AUX
fis-1247	114	43	considered	consider	VERB
fis-1247	114	44	as	as	ADP
fis-1247	114	45	the	the	DET
fis-1247	114	46	meso	meso	NOUN
fis-1247	114	47	-	-	PUNCT
fis-1247	114	48	macro	macro	NOUN
fis-1247	114	49	transition	transition	NOUN
fis-1247	114	50	or	or	CCONJ
fis-1247	114	51	upscaling	upscale	VERB
fis-1247	114	52	equation	equation	NOUN
fis-1247	114	53	.	.	PUNCT
fis-1247	115	1	unit	unit	NOUN
fis-1247	115	2	cell	cell	NOUN
fis-1247	115	3	boundary	boundary	ADJ
fis-1247	115	4	value	value	NOUN
fis-1247	115	5	problem	problem	NOUN
fis-1247	115	6	or	or	CCONJ
fis-1247	115	7	the	the	DET
fis-1247	115	8	case	case	NOUN
fis-1247	115	9	of	of	ADP
fis-1247	115	10	running	run	VERB
fis-1247	115	11	bond	bond	NOUN
fis-1247	115	12	masonry	masonry	NOUN
fis-1247	115	13	,	,	PUNCT
fis-1247	115	14	according	accord	VERB
fis-1247	115	15	to	to	ADP
fis-1247	115	16	[	[	X
fis-1247	115	17	22	22	NUM
fis-1247	115	18	]	]	PUNCT
fis-1247	115	19	and	and	CCONJ
fis-1247	115	20	[	[	X
fis-1247	115	21	13	13	NUM
fis-1247	115	22	]	]	PUNCT
fis-1247	115	23	,	,	PUNCT
fis-1247	115	24	the	the	DET
fis-1247	115	25	smallest	small	ADJ
fis-1247	115	26	uc	uc	NOUN
fis-1247	115	27	is	be	AUX
fis-1247	115	28	constituted	constitute	VERB
fis-1247	115	29	by	by	ADP
fis-1247	115	30	a	a	DET
fis-1247	115	31	single	single	ADJ
fis-1247	115	32	block	block	NOUN
fis-1247	115	33	surrounded	surround	VERB
fis-1247	115	34	by	by	ADP
fis-1247	115	35	half	half	NOUN
fis-1247	115	36	of	of	ADP
fis-1247	115	37	the	the	DET
fis-1247	115	38	head	head	NOUN
fis-1247	115	39	and	and	CCONJ
fis-1247	115	40	bed	bed	NOUN
fis-1247	115	41	mortar	mortar	NOUN
fis-1247	115	42	joints	joint	NOUN
fis-1247	115	43	and	and	CCONJ
fis-1247	115	44	the	the	DET
fis-1247	115	45	periodicity	periodicity	NOUN
fis-1247	115	46	is	be	AUX
fis-1247	115	47	defined	define	VERB
fis-1247	115	48	by	by	ADP
fis-1247	115	49	the	the	DET
fis-1247	115	50	two	two	NUM
fis-1247	115	51	directions	direction	NOUN
fis-1247	115	52	1i	1i	NOUN
fis-1247	115	53	and	and	CCONJ
fis-1247	115	54	2i	2i	NOUN
fis-1247	115	55	since	since	SCONJ
fis-1247	115	56	the	the	DET
fis-1247	115	57	heterogeneous	heterogeneous	ADJ
fis-1247	115	58	material	material	NOUN
fis-1247	115	59	can	can	AUX
fis-1247	115	60	be	be	AUX
fis-1247	115	61	constructed	construct	VERB
fis-1247	115	62	by	by	ADP
fis-1247	115	63	repeating	repeat	VERB
fis-1247	115	64	the	the	DET
fis-1247	115	65	uc	uc	NOUN
fis-1247	115	66	along	along	ADP
fis-1247	115	67	these	these	DET
fis-1247	115	68	directions	direction	NOUN
fis-1247	115	69	(	(	PUNCT
fis-1247	115	70	fig	fig	NOUN
fis-1247	115	71	.	.	PUNCT
fis-1247	116	1	3	3	NUM
fis-1247	116	2	)	)	PUNCT
fis-1247	116	3	.	.	PUNCT
fis-1247	117	1	in	in	ADP
fis-1247	117	2	the	the	DET
fis-1247	117	3	present	present	ADJ
fis-1247	117	4	work	work	NOUN
fis-1247	117	5	the	the	DET
fis-1247	117	6	material	material	NOUN
fis-1247	117	7	of	of	ADP
fis-1247	117	8	the	the	DET
fis-1247	117	9	blocks	block	NOUN
fis-1247	117	10	is	be	AUX
fis-1247	117	11	considered	consider	VERB
fis-1247	117	12	indefinitely	indefinitely	ADV
fis-1247	117	13	elastic	elastic	ADJ
fis-1247	117	14	and	and	CCONJ
fis-1247	117	15	the	the	DET
fis-1247	117	16	interfaces	interface	NOUN
fis-1247	117	17	constitutive	constitutive	ADJ
fis-1247	117	18	laws	law	NOUN
fis-1247	117	19	,	,	PUNCT
fis-1247	117	20	expressed	express	VERB
fis-1247	117	21	in	in	ADP
fis-1247	117	22	terms	term	NOUN
fis-1247	117	23	of	of	ADP
fis-1247	117	24	contact	contact	NOUN
fis-1247	117	25	tractions	traction	NOUN
fis-1247	117	26	iσ	iσ	X
fis-1247	117	27	and	and	CCONJ
fis-1247	117	28	displacement	displacement	ADJ
fis-1247	117	29	discontinuities	discontinuity	NOUN
fis-1247	117	30	at	at	ADP
fis-1247	117	31	the	the	DET
fis-1247	117	32	interface	interface	NOUN
fis-1247	117	33			PROPN
fis-1247	117	34	iu	iu	PROPN
fis-1247	117	35	,	,	PUNCT
fis-1247	117	36	are	be	AUX
fis-1247	117	37	developed	develop	VERB
fis-1247	117	38	in	in	ADP
fis-1247	117	39	the	the	DET
fis-1247	117	40	framework	framework	NOUN
fis-1247	117	41	of	of	ADP
fis-1247	117	42	elastoplasticity	elastoplasticity	NOUN
fis-1247	117	43	for	for	ADP
fis-1247	117	44	non	non	X
fis-1247	117	45	standard	standard	ADJ
fis-1247	117	46	materials	material	NOUN
fis-1247	117	47	.	.	PUNCT
fis-1247	118	1	figure	figure	VERB
fis-1247	118	2	3	3	NUM
fis-1247	118	3	:	:	PUNCT
fis-1247	118	4	unit	unit	NOUN
fis-1247	118	5	cell	cell	NOUN
fis-1247	118	6	extracted	extract	VERB
fis-1247	118	7	from	from	ADP
fis-1247	118	8	running	run	VERB
fis-1247	118	9	bond	bond	NOUN
fis-1247	118	10	masonry	masonry	NOUN
fis-1247	118	11	.	.	PUNCT
fis-1247	119	1	the	the	DET
fis-1247	119	2	following	follow	VERB
fis-1247	119	3	general	general	ADJ
fis-1247	119	4	assumptions	assumption	NOUN
fis-1247	119	5	are	be	AUX
fis-1247	119	6	adopted	adopt	VERB
fis-1247	119	7	to	to	PART
fis-1247	119	8	describe	describe	VERB
fis-1247	119	9	the	the	DET
fis-1247	119	10	mechanical	mechanical	ADJ
fis-1247	119	11	behavior	behavior	NOUN
fis-1247	119	12	of	of	ADP
fis-1247	119	13	the	the	DET
fis-1247	119	14	interfaces	interface	NOUN
fis-1247	119	15	:	:	PUNCT
fis-1247	119	16			PRON
fis-1247	119	17	the	the	DET
fis-1247	119	18	traction	traction	PROPN
fis-1247	119	19	components	component	NOUN
fis-1247	119	20	are	be	AUX
fis-1247	119	21	continuous	continuous	ADJ
fis-1247	119	22	at	at	ADP
fis-1247	119	23	the	the	DET
fis-1247	119	24	interface	interface	NOUN
fis-1247	119	25			PROPN
fis-1247	119	26	mi	mi	PROPN
fis-1247	119	27	σ	σ	NOUN
fis-1247	119	28	0	0	NUM
fis-1247	119	29	(	(	PUNCT
fis-1247	119	30	14	14	NUM
fis-1247	119	31	)	)	PUNCT
fis-1247	119	32			NOUN
fis-1247	120	1	the	the	DET
fis-1247	120	2	strain	strain	ADJ
fis-1247	120	3	components	component	NOUN
fis-1247	120	4	along	along	ADP
fis-1247	120	5	the	the	DET
fis-1247	120	6	thickness	thickness	NOUN
fis-1247	120	7	h	h	NOUN
fis-1247	120	8	of	of	ADP
fis-1247	120	9	the	the	DET
fis-1247	120	10	interface	interface	NOUN
fis-1247	120	11	are	be	AUX
fis-1247	120	12	uniform	uniform	ADJ
fis-1247	120	13	and	and	CCONJ
fis-1247	120	14	evaluated	evaluate	VERB
fis-1247	120	15	on	on	ADP
fis-1247	120	16	the	the	DET
fis-1247	120	17	basis	basis	NOUN
fis-1247	120	18	of	of	ADP
fis-1247	120	19	the	the	DET
fis-1247	120	20	values	value	NOUN
fis-1247	120	21	assumed	assume	VERB
fis-1247	120	22	by	by	ADP
fis-1247	120	23	the	the	DET
fis-1247	120	24	displacement	displacement	ADJ
fis-1247	120	25	discontinuity	discontinuity	NOUN
fis-1247	120	26	components	component	NOUN
fis-1247	120	27			VERB
fis-1247	120	28	m	m	PROPN
fis-1247	120	29	mi	mi	PROPN
fis-1247	121	1	h	h	NOUN
fis-1247	122	1			PROPN
fis-1247	122	2	u	u	PROPN
fis-1247	122	3	ε	ε	PROPN
fis-1247	122	4	(	(	PUNCT
fis-1247	122	5	15	15	NUM
fis-1247	122	6	)	)	PUNCT
fis-1247	122	7			NOUN
fis-1247	123	1	the	the	DET
fis-1247	123	2	total	total	ADJ
fis-1247	123	3	strain	strain	NOUN
fis-1247	123	4	and	and	CCONJ
fis-1247	123	5	the	the	DET
fis-1247	123	6	total	total	ADJ
fis-1247	123	7	displacement	displacement	ADJ
fis-1247	123	8	discontinuities	discontinuity	NOUN
fis-1247	123	9	are	be	AUX
fis-1247	123	10	decomposed	decompose	VERB
fis-1247	123	11	in	in	ADP
fis-1247	123	12	the	the	DET
fis-1247	123	13	elastic	elastic	ADJ
fis-1247	123	14	(	(	PUNCT
fis-1247	123	15	e	e	NOUN
fis-1247	123	16	)	)	PUNCT
fis-1247	123	17	and	and	CCONJ
fis-1247	123	18	inelastic	inelastic	ADJ
fis-1247	123	19	(	(	PUNCT
fis-1247	123	20	p	p	NOUN
fis-1247	123	21	)	)	PUNCT
fis-1247	123	22	parts	part	NOUN
fis-1247	123	23			ADJ
fis-1247	123	24			ADP
fis-1247	123	25			ADJ
fis-1247	123	26			PUNCT
fis-1247	123	27			PROPN
fis-1247	123	28			PROPN
fis-1247	123	29	,	,	PUNCT
fis-1247	123	30	e	e	PROPN
fis-1247	123	31	pe	pe	PROPN
fis-1247	123	32	p	p	PROPN
fis-1247	123	33	mi	mi	PROPN
fis-1247	123	34	mi	mi	PROPN
fis-1247	123	35	mi	mi	PROPN
fis-1247	123	36	m	m	PROPN
fis-1247	123	37	m	m	VERB
fis-1247	123	38	m	m	NOUN
fis-1247	123	39			ADJ
fis-1247	123	40			PROPN
fis-1247	123	41	ε	ε	ADJ
fis-1247	123	42	ε	ε	PROPN
fis-1247	123	43	ε	ε	PROPN
fis-1247	123	44	u	u	NOUN
fis-1247	123	45	u	u	NOUN
fis-1247	123	46	u	u	NOUN
fis-1247	123	47	.	.	PUNCT
fis-1247	124	1	(	(	PUNCT
fis-1247	124	2	16	16	NUM
fis-1247	124	3	)	)	PUNCT
fis-1247	124	4	f	f	PROPN
fis-1247	124	5	g.	g.	PROPN
fis-1247	124	6	gianbanco	gianbanco	PROPN
fis-1247	124	7	et	et	PROPN
fis-1247	124	8	alii	alii	PROPN
fis-1247	124	9	,	,	PUNCT
fis-1247	124	10	frattura	frattura	PROPN
fis-1247	124	11	ed	ed	PROPN
fis-1247	124	12	integrità	integrità	PROPN
fis-1247	124	13	strutturale	strutturale	PROPN
fis-1247	124	14	,	,	PUNCT
fis-1247	124	15	29	29	NUM
fis-1247	124	16	(	(	PUNCT
fis-1247	124	17	2014	2014	NUM
fis-1247	124	18	)	)	PUNCT
fis-1247	124	19	150	150	NUM
fis-1247	124	20	-	-	SYM
fis-1247	124	21	166	166	NUM
fis-1247	124	22	;	;	PUNCT
fis-1247	124	23	doi	doi	NOUN
fis-1247	124	24	:	:	PUNCT
fis-1247	124	25	10.3221	10.3221	NUM
fis-1247	124	26	/	/	SYM
fis-1247	124	27	igf	igf	PROPN
fis-1247	124	28	-	-	PUNCT
fis-1247	124	29	esis.29.14	esis.29.14	PROPN
fis-1247	124	30	155	155	NUM
fis-1247	124	31	with	with	ADP
fis-1247	124	32	reference	reference	NOUN
fis-1247	124	33	to	to	ADP
fis-1247	124	34	the	the	DET
fis-1247	124	35	assumed	assume	VERB
fis-1247	124	36	hypotheses	hypothesis	NOUN
fis-1247	124	37	,	,	PUNCT
fis-1247	124	38	the	the	DET
fis-1247	124	39	material	material	NOUN
fis-1247	124	40	of	of	ADP
fis-1247	124	41	the	the	DET
fis-1247	124	42	block	block	NOUN
fis-1247	124	43	is	be	AUX
fis-1247	124	44	considered	consider	VERB
fis-1247	124	45	elastic	elastic	ADJ
fis-1247	124	46	and	and	CCONJ
fis-1247	124	47	inelastic	inelastic	ADJ
fis-1247	124	48	displacement	displacement	ADJ
fis-1247	124	49	discontinuities	discontinuity	NOUN
fis-1247	124	50	arise	arise	VERB
fis-1247	124	51	at	at	ADP
fis-1247	124	52	the	the	DET
fis-1247	124	53	zero	zero	NUM
fis-1247	124	54	-	-	PUNCT
fis-1247	124	55	thickness	thickness	NOUN
fis-1247	124	56	interfaces	interface	NOUN
fis-1247	124	57	,	,	PUNCT
fis-1247	124	58	thus	thus	ADV
fis-1247	124	59	mb	mb	ADP
fis-1247	124	60	b	b	PROPN
fis-1247	124	61	mbσ	mbσ	PROPN
fis-1247	124	62	e	e	PROPN
fis-1247	124	63	ε	ε	X
fis-1247	124	64	(	(	PUNCT
fis-1247	124	65	17	17	NUM
fis-1247	124	66	)	)	PUNCT
fis-1247	124	67			ADJ
fis-1247	124	68			PUNCT
fis-1247	124	69			PROPN
fis-1247	124	70			PROPN
fis-1247	124	71	p	p	PROPN
fis-1247	124	72	mi	mi	PROPN
fis-1247	125	1	i	i	PRON
fis-1247	125	2	m	m	VERB
fis-1247	125	3	m	m	NOUN
fis-1247	125	4	σ	σ	VERB
fis-1247	125	5	e	e	X
fis-1247	125	6	u	u	NOUN
fis-1247	125	7	u	u	PROPN
fis-1247	125	8	(	(	PUNCT
fis-1247	125	9	18	18	NUM
fis-1247	125	10	)	)	PUNCT
fis-1247	125	11	where	where	SCONJ
fis-1247	125	12	be	be	AUX
fis-1247	125	13	and	and	CCONJ
fis-1247	125	14	ie	ie	PRON
fis-1247	125	15	are	be	AUX
fis-1247	125	16	the	the	DET
fis-1247	125	17	elastic	elastic	ADJ
fis-1247	125	18	matrices	matrix	NOUN
fis-1247	125	19	of	of	ADP
fis-1247	125	20	the	the	DET
fis-1247	125	21	block	block	NOUN
fis-1247	125	22	material	material	NOUN
fis-1247	125	23	and	and	CCONJ
fis-1247	125	24	of	of	ADP
fis-1247	125	25	the	the	DET
fis-1247	125	26	interfaces	interface	NOUN
fis-1247	125	27	,	,	PUNCT
fis-1247	125	28	respectively	respectively	ADV
fis-1247	125	29	.	.	PUNCT
fis-1247	126	1	irreversible	irreversible	ADJ
fis-1247	126	2	discontinuous	discontinuous	ADJ
fis-1247	126	3	displacements	displacement	NOUN
fis-1247	126	4	occur	occur	VERB
fis-1247	126	5	when	when	SCONJ
fis-1247	126	6	the	the	DET
fis-1247	126	7	interface	interface	NOUN
fis-1247	126	8	stress	stress	NOUN
fis-1247	126	9	state	state	NOUN
fis-1247	126	10	reaches	reach	VERB
fis-1247	126	11	a	a	DET
fis-1247	126	12	limit	limit	NOUN
fis-1247	126	13	condition	condition	NOUN
fis-1247	126	14	.	.	PUNCT
fis-1247	127	1	the	the	DET
fis-1247	127	2	elastic	elastic	ADJ
fis-1247	127	3	domain	domain	NOUN
fis-1247	127	4	is	be	AUX
fis-1247	127	5	defined	define	VERB
fis-1247	127	6	by	by	ADP
fis-1247	127	7	two	two	NUM
fis-1247	127	8	convex	convex	NOUN
fis-1247	127	9	limit	limit	NOUN
fis-1247	127	10	surfaces	surface	NOUN
fis-1247	127	11	intersecting	intersect	VERB
fis-1247	127	12	in	in	ADP
fis-1247	127	13	a	a	DET
fis-1247	127	14	non	non	ADJ
fis-1247	127	15	-	-	ADJ
fis-1247	127	16	smooth	smooth	ADJ
fis-1247	127	17	fashion	fashion	NOUN
fis-1247	127	18	:	:	PUNCT
fis-1247	127	19	the	the	DET
fis-1247	127	20	coulomb	coulomb	NOUN
fis-1247	127	21	bilinear	bilinear	PROPN
fis-1247	127	22	limit	limit	NOUN
fis-1247	127	23	surface	surface	NOUN
fis-1247	127	24	and	and	CCONJ
fis-1247	127	25	a	a	DET
fis-1247	127	26	tension	tension	NOUN
fis-1247	127	27	cut	cut	NOUN
fis-1247	127	28	-	-	PUNCT
fis-1247	127	29	off	off	NOUN
fis-1247	127	30	(	(	PUNCT
fis-1247	127	31	fig	fig	NOUN
fis-1247	127	32	.	.	PUNCT
fis-1247	128	1	4	4	NUM
fis-1247	128	2	)	)	PUNCT
fis-1247	128	3	.	.	PUNCT
fis-1247	129	1	the	the	DET
fis-1247	129	2	limit	limit	NOUN
fis-1247	129	3	functions	function	NOUN
fis-1247	129	4	,	,	PUNCT
fis-1247	129	5	reported	report	VERB
fis-1247	129	6	in	in	ADP
fis-1247	129	7	the	the	DET
fis-1247	129	8	stress	stress	NOUN
fis-1247	129	9	space	space	NOUN
fis-1247	129	10	take	take	VERB
fis-1247	129	11	the	the	DET
fis-1247	129	12	following	follow	VERB
fis-1247	129	13	form	form	NOUN
fis-1247	129	14	:	:	PUNCT
fis-1247	130	1			NOUN
fis-1247	130	2			SYM
fis-1247	130	3			NOUN
fis-1247	130	4	1	1	ADJ
fis-1247	130	5	0	0	NUM
fis-1247	130	6	,	,	PUNCT
fis-1247	130	7	tan	tan	PRON
fis-1247	130	8	1p	1p	VERB
fis-1247	130	9	p	p	PROPN
fis-1247	130	10	p	p	PROPN
fis-1247	130	11	mi	mi	PROPN
fis-1247	130	12	mi	mi	PROPN
fis-1247	130	13	mi	mi	PROPN
fis-1247	130	14	c	c	PROPN
fis-1247	130	15			NOUN
fis-1247	130	16			PROPN
fis-1247	131	1			PROPN
fis-1247	131	2			PUNCT
fis-1247	131	3			NUM
fis-1247	131	4			ADJ
fis-1247	131	5			NOUN
fis-1247	131	6	τ	τ	NOUN
fis-1247	131	7	(	(	PUNCT
fis-1247	131	8	19	19	NUM
fis-1247	131	9	)	)	PUNCT
fis-1247	131	10			NOUN
fis-1247	131	11			SYM
fis-1247	131	12			NOUN
fis-1247	131	13	2	2	NOUN
fis-1247	131	14	0	0	NUM
fis-1247	131	15	,	,	PUNCT
fis-1247	131	16	1p	1p	NUM
fis-1247	131	17	p	p	PROPN
fis-1247	131	18	p	p	X
fis-1247	131	19	mi	mi	PROPN
fis-1247	131	20	mi	mi	PROPN
fis-1247	131	21			VERB
fis-1247	131	22			PRON
fis-1247	131	23			PUNCT
fis-1247	131	24			PUNCT
fis-1247	132	1			NUM
fis-1247	132	2			PROPN
fis-1247	132	3			NOUN
fis-1247	132	4	(	(	PUNCT
fis-1247	132	5	20	20	NUM
fis-1247	132	6	)	)	PUNCT
fis-1247	132	7	where	where	SCONJ
fis-1247	132	8	miτ	miτ	NOUN
fis-1247	132	9	and	and	CCONJ
fis-1247	132	10	mi	mi	PROPN
fis-1247	132	11	are	be	AUX
fis-1247	132	12	the	the	DET
fis-1247	132	13	tangential	tangential	ADJ
fis-1247	132	14	stress	stress	NOUN
fis-1247	132	15	vector	vector	NOUN
fis-1247	132	16	and	and	CCONJ
fis-1247	132	17	the	the	DET
fis-1247	132	18	normal	normal	ADJ
fis-1247	132	19	stress	stress	NOUN
fis-1247	132	20	component	component	NOUN
fis-1247	132	21	of	of	ADP
fis-1247	132	22	the	the	DET
fis-1247	132	23	contact	contact	NOUN
fis-1247	132	24	stresses	stress	NOUN
fis-1247	132	25	,	,	PUNCT
fis-1247	132	26			ADJ
fis-1247	132	27	is	be	AUX
fis-1247	132	28	the	the	DET
fis-1247	132	29	friction	friction	NOUN
fis-1247	132	30	angle	angle	NOUN
fis-1247	132	31	,	,	PUNCT
fis-1247	132	32	0c	0c	NOUN
fis-1247	132	33	and	and	CCONJ
fis-1247	132	34	0	0	NUM
fis-1247	132	35	the	the	DET
fis-1247	132	36	cohesion	cohesion	NOUN
fis-1247	132	37	and	and	CCONJ
fis-1247	132	38	tensile	tensile	NOUN
fis-1247	132	39	strength	strength	NOUN
fis-1247	132	40	of	of	ADP
fis-1247	132	41	the	the	DET
fis-1247	132	42	virgin	virgin	ADJ
fis-1247	132	43	interfaces	interface	NOUN
fis-1247	132	44	.	.	PUNCT
fis-1247	133	1	p	p	NOUN
fis-1247	133	2	is	be	AUX
fis-1247	133	3	a	a	DET
fis-1247	133	4	static	static	ADJ
fis-1247	133	5	variable	variable	NOUN
fis-1247	133	6	which	which	PRON
fis-1247	133	7	is	be	AUX
fis-1247	133	8	associated	associate	VERB
fis-1247	133	9	to	to	ADP
fis-1247	133	10	the	the	DET
fis-1247	133	11	internal	internal	ADJ
fis-1247	133	12	variable	variable	NOUN
fis-1247	133	13	p	p	NOUN
fis-1247	133	14	which	which	PRON
fis-1247	133	15	regulates	regulate	VERB
fis-1247	133	16	the	the	DET
fis-1247	133	17	isotropic	isotropic	ADJ
fis-1247	133	18	hardening	harden	VERB
fis-1247	133	19	-	-	PUNCT
fis-1247	133	20	softening	soften	VERB
fis-1247	133	21	interface	interface	NOUN
fis-1247	133	22	behavior	behavior	NOUN
fis-1247	133	23	:	:	PUNCT
fis-1247	133	24	p	p	X
fis-1247	133	25	p	p	X
fis-1247	133	26	ph	ph	NOUN
fis-1247	133	27			PUNCT
fis-1247	133	28	(	(	PUNCT
fis-1247	133	29	21	21	NUM
fis-1247	133	30	)	)	PUNCT
fis-1247	133	31	with	with	ADP
fis-1247	133	32	ph	ph	NOUN
fis-1247	133	33	the	the	DET
fis-1247	133	34	hardening	harden	VERB
fis-1247	133	35	-	-	PUNCT
fis-1247	133	36	softening	soften	VERB
fis-1247	133	37	parameter	parameter	NOUN
fis-1247	133	38	.	.	PUNCT
fis-1247	134	1	figure	figure	VERB
fis-1247	134	2	4	4	NUM
fis-1247	134	3	:	:	PUNCT
fis-1247	134	4	bilinear	bilinear	NOUN
fis-1247	134	5	plastic	plastic	NOUN
fis-1247	134	6	limit	limit	NOUN
fis-1247	134	7	condition	condition	NOUN
fis-1247	134	8	represented	represent	VERB
fis-1247	134	9	in	in	ADP
fis-1247	134	10	the	the	DET
fis-1247	134	11	plane	plane	NOUN
fis-1247	134	12	stress	stress	NOUN
fis-1247	134	13	space	space	NOUN
fis-1247	134	14	.	.	PUNCT
fis-1247	135	1	the	the	DET
fis-1247	135	2	inelastic	inelastic	ADJ
fis-1247	135	3	displacement	displacement	NOUN
fis-1247	135	4	discontinuities	discontinuity	NOUN
fis-1247	135	5	develop	develop	VERB
fis-1247	135	6	according	accord	VERB
fis-1247	135	7	to	to	ADP
fis-1247	135	8	a	a	DET
fis-1247	135	9	non	non	ADJ
fis-1247	135	10	-	-	ADJ
fis-1247	135	11	associative	associative	ADJ
fis-1247	135	12	flow	flow	NOUN
fis-1247	135	13	rule	rule	NOUN
fis-1247	135	14	:	:	PUNCT
fis-1247	135	15			ADJ
fis-1247	135	16			ADP
fis-1247	135	17	2	2	NUM
fis-1247	135	18	1	1	NUM
fis-1247	135	19	2	2	NUM
fis-1247	135	20	1	1	NUM
fis-1247	135	21	2	2	NUM
fis-1247	135	22	1	1	NUM
fis-1247	135	23	2	2	NUM
fis-1247	135	24	,	,	PUNCT
fis-1247	135	25	p	p	NOUN
fis-1247	135	26	p	p	X
fis-1247	135	27	p	p	X
fis-1247	135	28	p	p	PROPN
fis-1247	135	29	p	p	PROPN
fis-1247	135	30	p	p	PROPN
fis-1247	135	31	p	p	PROPN
fis-1247	135	32	p	p	PROPN
fis-1247	135	33	p	p	X
fis-1247	135	34	p	p	NOUN
fis-1247	135	35	m	m	PROPN
fis-1247	135	36	p	p	PROPN
fis-1247	135	37	p	p	PROPN
fis-1247	135	38	mi	mi	PROPN
fis-1247	135	39	mi	mi	PROPN
fis-1247	135	40	g	g	PROPN
fis-1247	135	41			ADJ
fis-1247	135	42			NOUN
fis-1247	135	43			X
fis-1247	135	44			VERB
fis-1247	135	45			NOUN
fis-1247	135	46			VERB
fis-1247	135	47			PROPN
fis-1247	135	48			NOUN
fis-1247	135	49			VERB
fis-1247	135	50			VERB
fis-1247	135	51			NUM
fis-1247	135	52			PUNCT
fis-1247	135	53			NUM
fis-1247	135	54			PROPN
fis-1247	135	55			PROPN
fis-1247	135	56			PROPN
fis-1247	135	57			ADJ
fis-1247	135	58			ADJ
fis-1247	135	59			PROPN
fis-1247	135	60	u	u	PROPN
fis-1247	135	61	σ	σ	PROPN
fis-1247	135	62	σ	σ	NOUN
fis-1247	135	63			NOUN
fis-1247	135	64			NOUN
fis-1247	135	65			NOUN
fis-1247	135	66			NOUN
fis-1247	135	67			NOUN
fis-1247	135	68	(	(	PUNCT
fis-1247	135	69	22	22	NUM
fis-1247	135	70	)	)	PUNCT
fis-1247	135	71	where	where	SCONJ
fis-1247	135	72	1p	1p	NUM
fis-1247	135	73	and	and	CCONJ
fis-1247	135	74	2p	2p	NUM
fis-1247	135	75	are	be	AUX
fis-1247	135	76	the	the	DET
fis-1247	135	77	plastic	plastic	ADJ
fis-1247	135	78	multipliers	multiplier	NOUN
fis-1247	135	79	which	which	PRON
fis-1247	135	80	satisfy	satisfy	VERB
fis-1247	135	81	the	the	DET
fis-1247	135	82	complementarity	complementarity	NOUN
fis-1247	135	83	conditions	condition	NOUN
fis-1247	135	84	1	1	NUM
fis-1247	135	85	2	2	NUM
fis-1247	135	86	1	1	NUM
fis-1247	135	87	2	2	NUM
fis-1247	135	88	1	1	NUM
fis-1247	135	89	1	1	NUM
fis-1247	135	90	2	2	NUM
fis-1247	135	91	20	20	NUM
fis-1247	135	92	,	,	PUNCT
fis-1247	135	93	0	0	NUM
fis-1247	135	94	,	,	PUNCT
fis-1247	135	95	0	0	NUM
fis-1247	135	96	,	,	PUNCT
fis-1247	135	97	0	0	NUM
fis-1247	135	98	,	,	PUNCT
fis-1247	135	99	0p	0p	X
fis-1247	135	100	p	p	X
fis-1247	135	101	p	p	X
fis-1247	135	102	p	p	PROPN
fis-1247	135	103	p	p	PROPN
fis-1247	135	104	p	p	PROPN
fis-1247	135	105	p	p	PROPN
fis-1247	135	106	p	p	PROPN
fis-1247	135	107			X
fis-1247	135	108			ADJ
fis-1247	135	109			NOUN
fis-1247	135	110			NUM
fis-1247	135	111			NOUN
fis-1247	135	112			NOUN
fis-1247	135	113			NUM
fis-1247	135	114			NUM
fis-1247	135	115			PROPN
fis-1247	135	116			VERB
fis-1247	135	117			ADJ
fis-1247	135	118			NOUN
fis-1247	135	119			NOUN
fis-1247	135	120			NOUN
fis-1247	135	121	.	.	PUNCT
fis-1247	136	1	(	(	PUNCT
fis-1247	136	2	23	23	NUM
fis-1247	136	3	)	)	PUNCT
fis-1247	136	4	the	the	DET
fis-1247	136	5	plastic	plastic	ADJ
fis-1247	136	6	potential	potential	NOUN
fis-1247	136	7	related	relate	VERB
fis-1247	136	8	to	to	ADP
fis-1247	136	9	the	the	DET
fis-1247	136	10	limit	limit	NOUN
fis-1247	136	11	condition	condition	NOUN
fis-1247	136	12	(	(	PUNCT
fis-1247	136	13	19	19	NUM
fis-1247	136	14	)	)	PUNCT
fis-1247	136	15	is	be	AUX
fis-1247	136	16	expressed	express	VERB
fis-1247	136	17	by	by	ADP
fis-1247	136	18	the	the	DET
fis-1247	136	19	following	follow	VERB
fis-1247	136	20	function	function	NOUN
fis-1247	136	21	:	:	PUNCT
fis-1247	136	22			NOUN
fis-1247	137	1			SYM
fis-1247	137	2			PROPN
fis-1247	138	1			PROPN
fis-1247	138	2	,	,	PUNCT
fis-1247	138	3	1	1	NUM
fis-1247	138	4	tan	tan	NOUN
fis-1247	138	5	0p	0p	NUM
fis-1247	138	6	p	p	X
fis-1247	138	7	p	p	PROPN
fis-1247	138	8	mi	mi	PROPN
fis-1247	138	9	mi	mi	PROPN
fis-1247	138	10	mig	mig	PROPN
fis-1247	138	11	r	r	PROPN
fis-1247	138	12			NOUN
fis-1247	138	13			PROPN
fis-1247	138	14			VERB
fis-1247	138	15			PROPN
fis-1247	138	16			PUNCT
fis-1247	138	17			PROPN
fis-1247	138	18			PROPN
fis-1247	138	19	τ	τ	NOUN
fis-1247	138	20	,	,	PUNCT
fis-1247	138	21	(	(	PUNCT
fis-1247	138	22	24	24	NUM
fis-1247	138	23	)	)	PUNCT
fis-1247	138	24	with	with	ADP
fis-1247	138	25			ADJ
fis-1247	138	26	0,	0,	PROPN
fis-1247	138	27			PROPN
fis-1247	138	28	dilatancy	dilatancy	PROPN
fis-1247	138	29	angle	angle	NOUN
fis-1247	138	30	and	and	CCONJ
fis-1247	138	31	r	r	NOUN
fis-1247	138	32	an	an	DET
fis-1247	138	33	arbitrary	arbitrary	ADJ
fis-1247	138	34	material	material	NOUN
fis-1247	138	35	constant	constant	NOUN
fis-1247	138	36	selected	select	VERB
fis-1247	138	37	in	in	ADP
fis-1247	138	38	such	such	DET
fis-1247	138	39	a	a	DET
fis-1247	138	40	way	way	NOUN
fis-1247	138	41	to	to	PART
fis-1247	138	42	satisfy	satisfy	VERB
fis-1247	138	43	eq	eq	ADP
fis-1247	138	44	.	.	PUNCT
fis-1247	139	1	(	(	PUNCT
fis-1247	139	2	24	24	NUM
fis-1247	139	3	)	)	PUNCT
fis-1247	139	4	for	for	ADP
fis-1247	139	5	any	any	DET
fis-1247	139	6	stress	stress	NOUN
fis-1247	139	7	state	state	NOUN
fis-1247	139	8	.	.	PUNCT
fis-1247	140	1	g.	g.	PROPN
fis-1247	140	2	gianbanco	gianbanco	PROPN
fis-1247	140	3	et	et	PROPN
fis-1247	140	4	alii	alii	PROPN
fis-1247	140	5	,	,	PUNCT
fis-1247	140	6	frattura	frattura	PROPN
fis-1247	140	7	ed	ed	PROPN
fis-1247	140	8	integrità	integrità	PROPN
fis-1247	140	9	strutturale	strutturale	PROPN
fis-1247	140	10	,	,	PUNCT
fis-1247	140	11	29	29	NUM
fis-1247	140	12	(	(	PUNCT
fis-1247	140	13	2014	2014	NUM
fis-1247	140	14	)	)	PUNCT
fis-1247	140	15	150	150	NUM
fis-1247	140	16	-	-	SYM
fis-1247	140	17	165	165	NUM
fis-1247	140	18	;	;	PUNCT
fis-1247	140	19	doi	doi	NOUN
fis-1247	140	20	:	:	PUNCT
fis-1247	140	21	10.3221	10.3221	NUM
fis-1247	140	22	/	/	SYM
fis-1247	140	23	igf	igf	PROPN
fis-1247	140	24	-	-	PUNCT
fis-1247	140	25	esis.29.14	esis.29.14	PROPN
fis-1247	140	26	156	156	NUM
fis-1247	140	27	the	the	DET
fis-1247	140	28	weak	weak	ADJ
fis-1247	140	29	form	form	NOUN
fis-1247	140	30	of	of	ADP
fis-1247	140	31	uc	uc	PROPN
fis-1247	140	32	equilibrium	equilibrium	NOUN
fis-1247	140	33	(	(	PUNCT
fis-1247	140	34	9	9	NUM
fis-1247	140	35	)	)	PUNCT
fis-1247	140	36	leads	lead	VERB
fis-1247	140	37	to	to	ADP
fis-1247	140	38	the	the	DET
fis-1247	140	39	following	following	ADJ
fis-1247	140	40	conditions	condition	NOUN
fis-1247	140	41	:	:	PUNCT
fis-1247	140	42	div	div	X
fis-1247	140	43	mb	mb	X
fis-1247	140	44	bon	bon	X
fis-1247	140	45	σ	σ	NOUN
fis-1247	140	46	0	0	PUNCT
fis-1247	141	1	(	(	PUNCT
fis-1247	141	2	25	25	NUM
fis-1247	141	3	)	)	PUNCT
fis-1247	141	4	1	1	NUM
fis-1247	141	5	,	,	PUNCT
fis-1247	141	6	,	,	PUNCT
fis-1247	141	7	4	4	NUM
fis-1247	141	8	mb	mb	ADP
fis-1247	141	9	k	k	PROPN
fis-1247	141	10	mi	mi	PROPN
fis-1247	141	11	bkon	bkon	PROPN
fis-1247	141	12	k	k	PROPN
fis-1247	141	13			PROPN
fis-1247	141	14	σ	σ	NOUN
fis-1247	141	15	n	n	PROPN
fis-1247	141	16	σ	σ	NUM
fis-1247	141	17			PROPN
fis-1247	141	18	(	(	PUNCT
fis-1247	141	19	26	26	NUM
fis-1247	141	20	)	)	PUNCT
fis-1247	141	21	1	1	NUM
fis-1247	141	22	,	,	PUNCT
fis-1247	141	23	,	,	PUNCT
fis-1247	141	24	4mi	4mi	PROPN
fis-1247	141	25	ikon	ikon	PROPN
fis-1247	141	26	k	k	PROPN
fis-1247	141	27			PROPN
fis-1247	141	28	σ	σ	NOUN
fis-1247	141	29	r	r	NOUN
fis-1247	141	30			NUM
fis-1247	141	31	(	(	PUNCT
fis-1247	141	32	27	27	NUM
fis-1247	141	33	)	)	PUNCT
fis-1247	141	34	1	1	NUM
fis-1247	141	35	,	,	PUNCT
fis-1247	141	36	,	,	PUNCT
fis-1247	141	37	4	4	NUM
fis-1247	141	38	m	m	NOUN
fis-1247	141	39	m	m	PROPN
fis-1247	141	40	ikon	ikon	PROPN
fis-1247	141	41	k	k	PROPN
fis-1247	141	42			PROPN
fis-1247	141	43	u	u	X
fis-1247	141	44	u	u	NOUN
fis-1247	141	45			PROPN
fis-1247	141	46	(	(	PUNCT
fis-1247	141	47	28	28	NUM
fis-1247	141	48	)	)	PUNCT
fis-1247	141	49	meshless	meshless	ADJ
fis-1247	141	50	solution	solution	NOUN
fis-1247	141	51	of	of	ADP
fis-1247	141	52	the	the	DET
fis-1247	141	53	bvp	bvp	NOUN
fis-1247	141	54	generally	generally	ADV
fis-1247	141	55	the	the	DET
fis-1247	141	56	solution	solution	NOUN
fis-1247	141	57	of	of	ADP
fis-1247	141	58	the	the	DET
fis-1247	141	59	uc	uc	PROPN
fis-1247	141	60	boundary	boundary	ADJ
fis-1247	141	61	value	value	NOUN
fis-1247	141	62	problem	problem	NOUN
fis-1247	141	63	is	be	AUX
fis-1247	141	64	approached	approach	VERB
fis-1247	141	65	in	in	ADP
fis-1247	141	66	an	an	DET
fis-1247	141	67	approximated	approximated	ADJ
fis-1247	141	68	way	way	NOUN
fis-1247	141	69	making	make	VERB
fis-1247	141	70	use	use	NOUN
fis-1247	141	71	of	of	ADP
fis-1247	141	72	the	the	DET
fis-1247	141	73	finite	finite	ADJ
fis-1247	141	74	element	element	NOUN
fis-1247	141	75	method	method	NOUN
fis-1247	141	76	and	and	CCONJ
fis-1247	141	77	,	,	PUNCT
fis-1247	141	78	since	since	SCONJ
fis-1247	141	79	two	two	NUM
fis-1247	141	80	finite	finite	ADJ
fis-1247	141	81	element	element	NOUN
fis-1247	141	82	meshes	mesh	NOUN
fis-1247	141	83	are	be	AUX
fis-1247	141	84	used	use	VERB
fis-1247	141	85	at	at	ADP
fis-1247	141	86	the	the	DET
fis-1247	141	87	macroscopic	macroscopic	ADJ
fis-1247	141	88	and	and	CCONJ
fis-1247	141	89	mesoscopic	mesoscopic	NOUN
fis-1247	141	90	levels	level	NOUN
fis-1247	141	91	,	,	PUNCT
fis-1247	141	92	the	the	DET
fis-1247	141	93	method	method	NOUN
fis-1247	141	94	is	be	AUX
fis-1247	141	95	known	know	VERB
fis-1247	141	96	as	as	ADP
fis-1247	141	97	fe2	fe2	PROPN
fis-1247	141	98	.	.	PUNCT
fis-1247	142	1	the	the	DET
fis-1247	142	2	present	present	ADJ
fis-1247	142	3	study	study	NOUN
fis-1247	142	4	approaches	approach	VERB
fis-1247	142	5	the	the	DET
fis-1247	142	6	numerical	numerical	ADJ
fis-1247	142	7	solution	solution	NOUN
fis-1247	142	8	of	of	ADP
fis-1247	142	9	the	the	DET
fis-1247	142	10	mesoscopic	mesoscopic	NOUN
fis-1247	142	11	model	model	NOUN
fis-1247	142	12	by	by	ADP
fis-1247	142	13	means	mean	NOUN
fis-1247	142	14	of	of	ADP
fis-1247	142	15	a	a	DET
fis-1247	142	16	meshless	meshless	ADJ
fis-1247	142	17	strategy	strategy	NOUN
fis-1247	142	18	which	which	PRON
fis-1247	142	19	is	be	AUX
fis-1247	142	20	described	describe	VERB
fis-1247	142	21	in	in	ADP
fis-1247	142	22	the	the	DET
fis-1247	142	23	following	following	NOUN
fis-1247	142	24	for	for	ADP
fis-1247	142	25	plane	plane	NOUN
fis-1247	142	26	stress	stress	NOUN
fis-1247	142	27	conditions	condition	NOUN
fis-1247	142	28	.	.	PUNCT
fis-1247	143	1	in	in	ADP
fis-1247	143	2	two	two	NUM
fis-1247	143	3	-	-	PUNCT
fis-1247	143	4	dimensional	dimensional	ADJ
fis-1247	143	5	models	model	NOUN
fis-1247	143	6	of	of	ADP
fis-1247	143	7	masonry	masonry	NOUN
fis-1247	143	8	structures	structure	VERB
fis-1247	143	9	the	the	DET
fis-1247	143	10	plane	plane	NOUN
fis-1247	143	11	stress	stress	NOUN
fis-1247	143	12	or	or	CCONJ
fis-1247	143	13	plain	plain	ADJ
fis-1247	143	14	strain	strain	NOUN
fis-1247	143	15	assumption	assumption	NOUN
fis-1247	143	16	is	be	AUX
fis-1247	143	17	adopted	adopt	VERB
fis-1247	143	18	depending	depend	VERB
fis-1247	143	19	on	on	ADP
fis-1247	143	20	the	the	DET
fis-1247	143	21	geometry	geometry	NOUN
fis-1247	143	22	of	of	ADP
fis-1247	143	23	the	the	DET
fis-1247	143	24	structural	structural	ADJ
fis-1247	143	25	element	element	NOUN
fis-1247	143	26	.	.	PUNCT
fis-1247	144	1	a	a	DET
fis-1247	144	2	specific	specific	ADJ
fis-1247	144	3	study	study	NOUN
fis-1247	144	4	on	on	ADP
fis-1247	144	5	the	the	DET
fis-1247	144	6	range	range	NOUN
fis-1247	144	7	of	of	ADP
fis-1247	144	8	validity	validity	NOUN
fis-1247	144	9	of	of	ADP
fis-1247	144	10	the	the	DET
fis-1247	144	11	two	two	NUM
fis-1247	144	12	different	different	ADJ
fis-1247	144	13	assumptions	assumption	NOUN
fis-1247	144	14	has	have	AUX
fis-1247	144	15	been	be	AUX
fis-1247	144	16	developed	develop	VERB
fis-1247	144	17	by	by	ADP
fis-1247	144	18	anthoine	anthoine	NOUN
fis-1247	144	19	[	[	X
fis-1247	144	20	23	23	NUM
fis-1247	144	21	]	]	PUNCT
fis-1247	144	22	.	.	PUNCT
fis-1247	145	1	the	the	DET
fis-1247	145	2	principal	principal	ADJ
fis-1247	145	3	conclusion	conclusion	NOUN
fis-1247	145	4	is	be	AUX
fis-1247	145	5	that	that	SCONJ
fis-1247	145	6	in	in	ADP
fis-1247	145	7	the	the	DET
fis-1247	145	8	linear	linear	ADJ
fis-1247	145	9	range	range	NOUN
fis-1247	145	10	both	both	PRON
fis-1247	145	11	provide	provide	VERB
fis-1247	145	12	satisfactory	satisfactory	ADJ
fis-1247	145	13	results	result	NOUN
fis-1247	145	14	while	while	SCONJ
fis-1247	145	15	in	in	ADP
fis-1247	145	16	the	the	DET
fis-1247	145	17	non	non	ADJ
fis-1247	145	18	linear	linear	PROPN
fis-1247	145	19	range	range	VERB
fis-1247	145	20	the	the	DET
fis-1247	145	21	plane	plane	NOUN
fis-1247	145	22	stress	stress	NOUN
fis-1247	145	23	assumption	assumption	NOUN
fis-1247	145	24	may	may	AUX
fis-1247	145	25	lead	lead	VERB
fis-1247	145	26	to	to	ADP
fis-1247	145	27	inaccurate	inaccurate	ADJ
fis-1247	145	28	results	result	NOUN
fis-1247	145	29	.	.	PUNCT
fis-1247	146	1	in	in	ADP
fis-1247	146	2	this	this	DET
fis-1247	146	3	case	case	NOUN
fis-1247	146	4	the	the	DET
fis-1247	146	5	plane	plane	NOUN
fis-1247	146	6	stress	stress	NOUN
fis-1247	146	7	assumption	assumption	NOUN
fis-1247	146	8	is	be	AUX
fis-1247	146	9	adopted	adopt	VERB
fis-1247	146	10	because	because	SCONJ
fis-1247	146	11	the	the	DET
fis-1247	146	12	implementation	implementation	NOUN
fis-1247	146	13	is	be	AUX
fis-1247	146	14	finalized	finalize	VERB
fis-1247	146	15	to	to	ADP
fis-1247	146	16	the	the	DET
fis-1247	146	17	study	study	NOUN
fis-1247	146	18	of	of	ADP
fis-1247	146	19	masonry	masonry	NOUN
fis-1247	146	20	walls	wall	NOUN
fis-1247	146	21	where	where	SCONJ
fis-1247	146	22	the	the	DET
fis-1247	146	23	thickness	thickness	NOUN
fis-1247	146	24	is	be	AUX
fis-1247	146	25	quite	quite	ADV
fis-1247	146	26	small	small	ADJ
fis-1247	146	27	if	if	SCONJ
fis-1247	146	28	compared	compare	VERB
fis-1247	146	29	to	to	ADP
fis-1247	146	30	the	the	DET
fis-1247	146	31	other	other	ADJ
fis-1247	146	32	dimensions	dimension	NOUN
fis-1247	146	33	.	.	PUNCT
fis-1247	147	1	the	the	DET
fis-1247	147	2	plane	plane	NOUN
fis-1247	147	3	stress	stress	NOUN
fis-1247	147	4	condition	condition	NOUN
fis-1247	147	5	is	be	AUX
fis-1247	147	6	also	also	ADV
fis-1247	147	7	used	use	VERB
fis-1247	147	8	to	to	PART
fis-1247	147	9	develop	develop	VERB
fis-1247	147	10	numerical	numerical	ADJ
fis-1247	147	11	simulations	simulation	NOUN
fis-1247	147	12	on	on	ADP
fis-1247	147	13	masonry	masonry	NOUN
fis-1247	147	14	specimens	specimen	VERB
fis-1247	147	15	under	under	ADP
fis-1247	147	16	the	the	DET
fis-1247	147	17	assumption	assumption	NOUN
fis-1247	147	18	that	that	SCONJ
fis-1247	147	19	the	the	DET
fis-1247	147	20	non	non	ADJ
fis-1247	147	21	linearities	linearity	NOUN
fis-1247	147	22	are	be	AUX
fis-1247	147	23	concentrated	concentrate	VERB
fis-1247	147	24	at	at	ADP
fis-1247	147	25	the	the	DET
fis-1247	147	26	joint	joint	ADJ
fis-1247	147	27	level	level	NOUN
fis-1247	147	28	and	and	CCONJ
fis-1247	147	29	the	the	DET
fis-1247	147	30	block	block	NOUN
fis-1247	147	31	material	material	NOUN
fis-1247	147	32	is	be	AUX
fis-1247	147	33	indefinitely	indefinitely	ADV
fis-1247	147	34	elastic	elastic	ADJ
fis-1247	147	35	.	.	PUNCT
fis-1247	148	1	in	in	ADP
fis-1247	148	2	view	view	NOUN
fis-1247	148	3	of	of	ADP
fis-1247	148	4	this	this	DET
fis-1247	148	5	last	last	ADJ
fis-1247	148	6	assumption	assumption	NOUN
fis-1247	148	7	inaccurate	inaccurate	ADJ
fis-1247	148	8	results	result	NOUN
fis-1247	148	9	related	relate	VERB
fis-1247	148	10	to	to	ADP
fis-1247	148	11	the	the	DET
fis-1247	148	12	plane	plane	NOUN
fis-1247	148	13	stress	stress	NOUN
fis-1247	148	14	condition	condition	NOUN
fis-1247	148	15	can	can	AUX
fis-1247	148	16	be	be	AUX
fis-1247	148	17	considered	consider	VERB
fis-1247	148	18	of	of	ADP
fis-1247	148	19	the	the	DET
fis-1247	148	20	same	same	ADJ
fis-1247	148	21	order	order	NOUN
fis-1247	148	22	of	of	ADP
fis-1247	148	23	the	the	DET
fis-1247	148	24	numerical	numerical	ADJ
fis-1247	148	25	approximations	approximation	NOUN
fis-1247	148	26	.	.	PUNCT
fis-1247	149	1	figure	figure	NOUN
fis-1247	149	2	5	5	NUM
fis-1247	149	3	:	:	PUNCT
fis-1247	149	4	unit	unit	NOUN
fis-1247	149	5	cell	cell	NOUN
fis-1247	149	6	meshless	meshless	ADJ
fis-1247	149	7	model	model	NOUN
fis-1247	149	8	.	.	PUNCT
fis-1247	150	1	with	with	ADP
fis-1247	150	2	reference	reference	NOUN
fis-1247	150	3	to	to	ADP
fis-1247	150	4	fig	fig	NOUN
fis-1247	150	5	.	.	PUNCT
fis-1247	151	1	5	5	NUM
fis-1247	152	1	the	the	DET
fis-1247	152	2	uc	uc	PROPN
fis-1247	152	3	is	be	AUX
fis-1247	152	4	divided	divide	VERB
fis-1247	152	5	in	in	ADP
fis-1247	152	6	five	five	NUM
fis-1247	152	7	integration	integration	NOUN
fis-1247	152	8	domains	domain	NOUN
fis-1247	152	9	:	:	PUNCT
fis-1247	152	10	the	the	DET
fis-1247	152	11	first	first	ADJ
fis-1247	152	12	(	(	PUNCT
fis-1247	152	13	b	b	PROPN
fis-1247	152	14	)	)	PUNCT
fis-1247	152	15	corresponds	correspond	VERB
fis-1247	152	16	to	to	ADP
fis-1247	152	17	the	the	DET
fis-1247	152	18	volume	volume	NOUN
fis-1247	152	19	occupied	occupy	VERB
fis-1247	152	20	by	by	ADP
fis-1247	152	21	the	the	DET
fis-1247	152	22	block	block	NOUN
fis-1247	152	23	.	.	PUNCT
fis-1247	153	1	the	the	DET
fis-1247	153	2	others	others	PROPN
fis-1247	153	3	integration	integration	NOUN
fis-1247	153	4	domains	domain	NOUN
fis-1247	153	5	are	be	AUX
fis-1247	153	6	the	the	DET
fis-1247	153	7	interfaces	interface	NOUN
fis-1247	153	8	(	(	PUNCT
fis-1247	153	9	1	1	NUM
fis-1247	153	10	,	,	PUNCT
fis-1247	153	11	,	,	PUNCT
fis-1247	153	12	4)k	4)k	ADV
fis-1247	153	13	k	k	PROPN
fis-1247	153	14			PROPN
fis-1247	153	15			INTJ
fis-1247	153	16	.	.	PUNCT
fis-1247	154	1	totally	totally	ADV
fis-1247	154	2	seventeen	seventeen	NUM
fis-1247	154	3	nodes	node	NOUN
fis-1247	154	4	are	be	AUX
fis-1247	154	5	used	use	VERB
fis-1247	154	6	to	to	PART
fis-1247	154	7	discretize	discretize	VERB
fis-1247	154	8	the	the	DET
fis-1247	154	9	uc	uc	NOUN
fis-1247	154	10	but	but	CCONJ
fis-1247	154	11	different	different	ADJ
fis-1247	154	12	choices	choice	NOUN
fis-1247	154	13	are	be	AUX
fis-1247	154	14	possible	possible	ADJ
fis-1247	154	15	in	in	ADP
fis-1247	154	16	order	order	NOUN
fis-1247	154	17	to	to	PART
fis-1247	154	18	refine	refine	VERB
fis-1247	154	19	the	the	DET
fis-1247	154	20	numerical	numerical	ADJ
fis-1247	154	21	solution	solution	NOUN
fis-1247	154	22	.	.	PUNCT
fis-1247	155	1	the	the	DET
fis-1247	155	2	displacement	displacement	ADJ
fis-1247	155	3	field	field	NOUN
fis-1247	155	4	inside	inside	ADP
fis-1247	155	5	each	each	DET
fis-1247	155	6	sub	sub	NOUN
fis-1247	155	7	-	-	NOUN
fis-1247	155	8	domain	domain	NOUN
fis-1247	155	9	is	be	AUX
fis-1247	155	10	obtained	obtain	VERB
fis-1247	155	11	from	from	ADP
fis-1247	155	12	the	the	DET
fis-1247	155	13	nodal	nodal	ADJ
fis-1247	155	14	displacement	displacement	NOUN
fis-1247	155	15	values	value	NOUN
fis-1247	155	16	mu	mu	NOUN
fis-1247	155	17	by	by	ADP
fis-1247	155	18	the	the	DET
fis-1247	155	19	moving	move	VERB
fis-1247	155	20	least	least	ADJ
fis-1247	155	21	square	square	ADJ
fis-1247	155	22	approximation	approximation	NOUN
fis-1247	155	23	(	(	PUNCT
fis-1247	155	24	mls	mls	PROPN
fis-1247	155	25	)	)	PUNCT
fis-1247	155	26	.	.	PUNCT
fis-1247	156	1	the	the	DET
fis-1247	156	2	approximated	approximate	VERB
fis-1247	156	3	value	value	NOUN
fis-1247	156	4	of	of	ADP
fis-1247	156	5	a	a	DET
fis-1247	156	6	displacement	displacement	ADJ
fis-1247	156	7	component	component	NOUN
fis-1247	156	8	is	be	AUX
fis-1247	156	9	expressed	express	VERB
fis-1247	156	10	as	as	ADP
fis-1247	156	11	a	a	DET
fis-1247	156	12	polynomial	polynomial	ADJ
fis-1247	156	13	function	function	NOUN
fis-1247	156	14	:	:	PUNCT
fis-1247	157	1			NOUN
fis-1247	157	2			SYM
fis-1247	157	3			NOUN
fis-1247	157	4			SYM
fis-1247	157	5			NOUN
fis-1247	157	6	t	t	VERB
fis-1247	157	7	mu	mu	NOUN
fis-1247	157	8	x	x	PROPN
fis-1247	157	9	p	p	NOUN
fis-1247	157	10	x	x	X
fis-1247	157	11	a	a	DET
fis-1247	157	12	x	x	X
fis-1247	157	13	(	(	PUNCT
fis-1247	157	14	29	29	NUM
fis-1247	157	15	)	)	PUNCT
fis-1247	157	16	with	with	ADP
fis-1247	157	17			PROPN
fis-1247	157	18	p	p	PROPN
fis-1247	157	19	x	x	SYM
fis-1247	157	20	a	a	DET
fis-1247	157	21	monomial	monomial	ADJ
fis-1247	157	22	basis	basis	NOUN
fis-1247	157	23	function	function	NOUN
fis-1247	157	24	and	and	CCONJ
fis-1247	157	25			NOUN
fis-1247	157	26	a	a	PROPN
fis-1247	157	27	x	x	SYM
fis-1247	157	28	a	a	DET
fis-1247	157	29	vector	vector	NOUN
fis-1247	157	30	of	of	ADP
fis-1247	157	31	coefficients	coefficient	NOUN
fis-1247	157	32	which	which	PRON
fis-1247	157	33	are	be	AUX
fis-1247	157	34	functions	function	NOUN
fis-1247	157	35	of	of	ADP
fis-1247	157	36	the	the	DET
fis-1247	157	37	spatial	spatial	ADJ
fis-1247	157	38	coordinates	coordinate	NOUN
fis-1247	157	39	x	x	X
fis-1247	157	40	.	.	PUNCT
fis-1247	158	1	in	in	ADP
fis-1247	158	2	the	the	DET
fis-1247	158	3	present	present	ADJ
fis-1247	158	4	case	case	NOUN
fis-1247	158	5	the	the	DET
fis-1247	158	6	basis	basis	NOUN
fis-1247	158	7	function	function	NOUN
fis-1247	158	8	adopted	adopt	VERB
fis-1247	158	9	is	be	AUX
fis-1247	158	10	linear	linear	ADJ
fis-1247	158	11	,	,	PUNCT
fis-1247	158	12			PROPN
fis-1247	158	13			PROPN
fis-1247	158	14			ADJ
fis-1247	158	15	1	1	NOUN
fis-1247	158	16	21	21	NUM
fis-1247	158	17	t	t	NOUN
fis-1247	158	18	x	x	SYM
fis-1247	158	19	xp	xp	PROPN
fis-1247	158	20	x	x	X
fis-1247	158	21	,	,	PUNCT
fis-1247	158	22	and	and	CCONJ
fis-1247	158	23	the	the	DET
fis-1247	158	24	coefficients	coefficient	NOUN
fis-1247	158	25	are	be	AUX
fis-1247	158	26	obtained	obtain	VERB
fis-1247	158	27	by	by	ADP
fis-1247	158	28	performing	perform	VERB
fis-1247	158	29	the	the	DET
fis-1247	158	30	minimization	minimization	NOUN
fis-1247	158	31	of	of	ADP
fis-1247	158	32	the	the	DET
fis-1247	158	33	following	follow	VERB
fis-1247	158	34	functional	functional	NOUN
fis-1247	158	35	:	:	PUNCT
fis-1247	158	36	g.	g.	PROPN
fis-1247	158	37	gianbanco	gianbanco	PROPN
fis-1247	158	38	et	et	PROPN
fis-1247	158	39	alii	alii	PROPN
fis-1247	158	40	,	,	PUNCT
fis-1247	158	41	frattura	frattura	PROPN
fis-1247	158	42	ed	ed	PROPN
fis-1247	158	43	integrità	integrità	PROPN
fis-1247	158	44	strutturale	strutturale	PROPN
fis-1247	158	45	,	,	PUNCT
fis-1247	158	46	29	29	NUM
fis-1247	158	47	(	(	PUNCT
fis-1247	158	48	2014	2014	NUM
fis-1247	158	49	)	)	PUNCT
fis-1247	158	50	150	150	NUM
fis-1247	158	51	-	-	SYM
fis-1247	158	52	166	166	NUM
fis-1247	158	53	;	;	PUNCT
fis-1247	158	54	doi	doi	NOUN
fis-1247	158	55	:	:	PUNCT
fis-1247	158	56	10.3221	10.3221	NUM
fis-1247	158	57	/	/	SYM
fis-1247	158	58	igf	igf	PROPN
fis-1247	158	59	-	-	PUNCT
fis-1247	158	60	esis.29.14	esis.29.14	PROPN
fis-1247	158	61	157	157	NUM
fis-1247	158	62			NOUN
fis-1247	159	1			SYM
fis-1247	159	2			NOUN
fis-1247	159	3			PUNCT
fis-1247	159	4			NOUN
fis-1247	159	5			PUNCT
fis-1247	159	6	2	2	NUM
fis-1247	159	7	1	1	NUM
fis-1247	159	8	n	n	PROPN
fis-1247	159	9	j	j	PROPN
fis-1247	159	10	m	m	VERB
fis-1247	159	11	j	j	PROPN
fis-1247	159	12	mj	mj	PROPN
fis-1247	159	13	j	j	PROPN
fis-1247	160	1	j	j	PROPN
fis-1247	160	2	w	w	PROPN
fis-1247	160	3	u	u	PROPN
fis-1247	160	4	u	u	NOUN
fis-1247	160	5			PROPN
fis-1247	160	6			PROPN
fis-1247	160	7			PROPN
fis-1247	160	8			NOUN
fis-1247	160	9	x	x	NOUN
fis-1247	160	10	x	x	SYM
fis-1247	160	11	x	x	X
fis-1247	160	12	(	(	PUNCT
fis-1247	160	13	30	30	NUM
fis-1247	160	14	)	)	PUNCT
fis-1247	160	15	where	where	SCONJ
fis-1247	160	16	n	n	PRON
fis-1247	160	17	is	be	AUX
fis-1247	160	18	the	the	DET
fis-1247	160	19	number	number	NOUN
fis-1247	160	20	of	of	ADP
fis-1247	160	21	nodes	node	NOUN
fis-1247	160	22	and	and	CCONJ
fis-1247	160	23			NOUN
fis-1247	160	24			PUNCT
fis-1247	160	25			NOUN
fis-1247	161	1	j	j	PROPN
fis-1247	161	2	j	j	PROPN
fis-1247	161	3	jw	jw	PROPN
fis-1247	161	4	w	w	VERB
fis-1247	161	5	x	x	PROPN
fis-1247	161	6	x	x	PUNCT
fis-1247	161	7	x	x	X
fis-1247	161	8	is	be	AUX
fis-1247	161	9	the	the	DET
fis-1247	161	10	weight	weight	NOUN
fis-1247	161	11	function	function	NOUN
fis-1247	161	12	depending	depend	VERB
fis-1247	161	13	on	on	ADP
fis-1247	161	14	the	the	DET
fis-1247	161	15	distance	distance	NOUN
fis-1247	161	16	between	between	ADP
fis-1247	161	17	the	the	DET
fis-1247	161	18	sampling	sampling	NOUN
fis-1247	161	19	point	point	NOUN
fis-1247	161	20	and	and	CCONJ
fis-1247	161	21	the	the	DET
fis-1247	161	22	node	node	NOUN
fis-1247	161	23	j.	j.	PROPN
fis-1247	161	24	minimizing	minimize	VERB
fis-1247	161	25	functional	functional	ADJ
fis-1247	161	26	(	(	PUNCT
fis-1247	161	27	30	30	NUM
fis-1247	161	28	)	)	PUNCT
fis-1247	161	29	the	the	DET
fis-1247	161	30	result	result	NOUN
fis-1247	161	31	is	be	AUX
fis-1247	161	32	a	a	DET
fis-1247	161	33	system	system	NOUN
fis-1247	161	34	of	of	ADP
fis-1247	161	35	linear	linear	PROPN
fis-1247	161	36	equations	equation	NOUN
fis-1247	161	37			NOUN
fis-1247	161	38			SYM
fis-1247	161	39			NOUN
fis-1247	161	40			SYM
fis-1247	161	41			NOUN
fis-1247	161	42	1	1	ADJ
fis-1247	161	43	m	m	NOUN
fis-1247	161	44	a	a	NOUN
fis-1247	161	45	x	x	PUNCT
fis-1247	161	46	a	a	DET
fis-1247	161	47	x	x	X
fis-1247	161	48	b	b	PROPN
fis-1247	161	49	x	x	SYM
fis-1247	161	50	u	u	NOUN
fis-1247	161	51	(	(	PUNCT
fis-1247	161	52	31	31	NUM
fis-1247	161	53	)	)	PUNCT
fis-1247	161	54	where	where	SCONJ
fis-1247	161	55			NOUN
fis-1247	161	56			SYM
fis-1247	161	57			NOUN
fis-1247	161	58			SYM
fis-1247	161	59			NOUN
fis-1247	161	60			PUNCT
fis-1247	161	61			NOUN
fis-1247	161	62			PROPN
fis-1247	161	63	1	1	NUM
fis-1247	161	64	n	n	NUM
fis-1247	161	65	t	t	X
fis-1247	161	66	j	j	PROPN
fis-1247	162	1	j	j	PROPN
fis-1247	162	2	w	w	PROPN
fis-1247	162	3			PROPN
fis-1247	163	1	a	a	PUNCT
fis-1247	163	2	x	x	PUNCT
fis-1247	163	3	x	x	X
fis-1247	163	4	p	p	X
fis-1247	163	5	x	x	X
fis-1247	163	6	p	p	X
fis-1247	163	7	x	x	X
fis-1247	163	8	(	(	PUNCT
fis-1247	163	9	32	32	NUM
fis-1247	163	10	)	)	PUNCT
fis-1247	163	11			NOUN
fis-1247	164	1			SYM
fis-1247	164	2			NOUN
fis-1247	164	3			SYM
fis-1247	164	4			NOUN
fis-1247	164	5			SYM
fis-1247	164	6			NOUN
fis-1247	164	7			SYM
fis-1247	164	8			NOUN
fis-1247	164	9			SYM
fis-1247	164	10			NOUN
fis-1247	164	11			SYM
fis-1247	164	12			NOUN
fis-1247	164	13	1	1	NOUN
fis-1247	164	14	1	1	NUM
fis-1247	164	15	2	2	NUM
fis-1247	164	16	2	2	NUM
fis-1247	164	17	,	,	PUNCT
fis-1247	164	18	,	,	PUNCT
fis-1247	164	19	,	,	PUNCT
fis-1247	164	20	n	n	PROPN
fis-1247	164	21	nw	nw	PROPN
fis-1247	164	22	w	w	PROPN
fis-1247	164	23	w	w	PROPN
fis-1247	164	24			PROPN
fis-1247	164	25			VERB
fis-1247	164	26	b	b	NOUN
fis-1247	164	27	x	x	NOUN
fis-1247	164	28	x	x	X
fis-1247	164	29	p	p	X
fis-1247	164	30	x	x	X
fis-1247	164	31	x	x	X
fis-1247	164	32	p	p	X
fis-1247	164	33	x	x	X
fis-1247	164	34	x	x	X
fis-1247	164	35	p	p	X
fis-1247	164	36	x	x	PROPN
fis-1247	164	37	(	(	PUNCT
fis-1247	164	38	33	33	NUM
fis-1247	164	39	)	)	PUNCT
fis-1247	164	40			NOUN
fis-1247	164	41	1	1	NOUN
fis-1247	164	42	2	2	NUM
fis-1247	164	43	t	t	NOUN
fis-1247	164	44	m	m	VERB
fis-1247	164	45	m	m	VERB
fis-1247	164	46	m	m	PROPN
fis-1247	164	47	mnu	mnu	NOUN
fis-1247	164	48	u	u	NOUN
fis-1247	164	49	uu	uu	ADP
fis-1247	164	50			NUM
fis-1247	164	51	(	(	PUNCT
fis-1247	164	52	34	34	NUM
fis-1247	164	53	)	)	PUNCT
fis-1247	164	54	substituting	substitute	VERB
fis-1247	164	55	the	the	DET
fis-1247	164	56	result	result	NOUN
fis-1247	164	57	(	(	PUNCT
fis-1247	164	58	31	31	NUM
fis-1247	164	59	)	)	PUNCT
fis-1247	164	60	into	into	ADP
fis-1247	164	61	(	(	PUNCT
fis-1247	164	62	29	29	NUM
fis-1247	164	63	)	)	PUNCT
fis-1247	164	64	the	the	DET
fis-1247	164	65	mls	mls	PROPN
fis-1247	164	66	approximation	approximation	NOUN
fis-1247	164	67	function	function	NOUN
fis-1247	164	68	is	be	AUX
fis-1247	164	69	finally	finally	ADV
fis-1247	164	70	obtained	obtain	VERB
fis-1247	164	71	as	as	ADP
fis-1247	164	72			NOUN
fis-1247	164	73			PROPN
fis-1247	164	74			NOUN
fis-1247	165	1	t	t	NOUN
fis-1247	165	2	m	m	VERB
fis-1247	165	3	mu	mu	NOUN
fis-1247	165	4	x	x	PUNCT
fis-1247	165	5	x	x	SYM
fis-1247	165	6	u	u	NOUN
fis-1247	165	7	(	(	PUNCT
fis-1247	165	8	35	35	NUM
fis-1247	165	9	)	)	PUNCT
fis-1247	165	10	where	where	SCONJ
fis-1247	165	11	the	the	DET
fis-1247	165	12	shape	shape	NOUN
fis-1247	165	13	function	function	NOUN
fis-1247	165	14			NOUN
fis-1247	165	15	t	t	NUM
fis-1247	165	16	x	x	VERB
fis-1247	165	17	is	be	AUX
fis-1247	165	18	given	give	VERB
fis-1247	165	19	by	by	ADP
fis-1247	165	20			NOUN
fis-1247	165	21			PROPN
fis-1247	165	22			NOUN
fis-1247	165	23			SYM
fis-1247	165	24			NOUN
fis-1247	165	25			PROPN
fis-1247	165	26			PROPN
fis-1247	165	27	1	1	NOUN
fis-1247	165	28	t	t	PROPN
fis-1247	165	29	t	t	NOUN
fis-1247	165	30	x	x	NOUN
fis-1247	165	31	p	p	NOUN
fis-1247	165	32	x	x	X
fis-1247	165	33	a	a	DET
fis-1247	165	34	x	x	X
fis-1247	165	35	b	b	PROPN
fis-1247	165	36	x	x	X
fis-1247	165	37	(	(	PUNCT
fis-1247	165	38	36	36	NUM
fis-1247	165	39	)	)	PUNCT
fis-1247	165	40	the	the	DET
fis-1247	165	41	weight	weight	NOUN
fis-1247	165	42	function	function	NOUN
fis-1247	165	43	plays	play	VERB
fis-1247	165	44	an	an	DET
fis-1247	165	45	important	important	ADJ
fis-1247	165	46	role	role	NOUN
fis-1247	165	47	in	in	ADP
fis-1247	165	48	the	the	DET
fis-1247	165	49	performance	performance	NOUN
fis-1247	165	50	of	of	ADP
fis-1247	165	51	the	the	DET
fis-1247	165	52	mls	mls	PROPN
fis-1247	165	53	approximation	approximation	NOUN
fis-1247	165	54	.	.	PUNCT
fis-1247	166	1	the	the	DET
fis-1247	166	2	quartic	quartic	ADJ
fis-1247	166	3	spline	spline	NOUN
fis-1247	166	4	function	function	NOUN
fis-1247	166	5			NOUN
fis-1247	166	6			PROPN
fis-1247	166	7	2	2	NUM
fis-1247	166	8	3	3	NUM
fis-1247	166	9	41	41	NUM
fis-1247	166	10	6	6	NUM
fis-1247	166	11	8	8	NUM
fis-1247	166	12	3	3	NUM
fis-1247	166	13	for	for	ADP
fis-1247	166	14	0	0	NUM
fis-1247	166	15	1	1	NUM
fis-1247	166	16	0	0	NUM
fis-1247	166	17	for	for	ADP
fis-1247	166	18	1	1	NUM
fis-1247	166	19	j	j	PROPN
fis-1247	166	20	j	j	PROPN
fis-1247	167	1	j	j	PROPN
fis-1247	167	2	j	j	PROPN
fis-1247	168	1	j	j	PROPN
fis-1247	169	1	j	j	PROPN
fis-1247	170	1	r	r	NOUN
fis-1247	170	2	r	r	NOUN
fis-1247	170	3	r	r	NOUN
fis-1247	170	4	r	r	NOUN
fis-1247	170	5	w	w	NOUN
fis-1247	170	6	r	r	NOUN
fis-1247	170	7			ADP
fis-1247	170	8			NOUN
fis-1247	170	9			PUNCT
fis-1247	170	10			PROPN
fis-1247	170	11			NOUN
fis-1247	170	12			ADV
fis-1247	170	13			NUM
fis-1247	170	14			SCONJ
fis-1247	170	15	x	x	SYM
fis-1247	170	16	(	(	PUNCT
fis-1247	170	17	37	37	NUM
fis-1247	170	18	)	)	PUNCT
fis-1247	170	19	is	be	AUX
fis-1247	170	20	adopted	adopt	VERB
fis-1247	170	21	in	in	ADP
fis-1247	170	22	this	this	DET
fis-1247	170	23	work	work	NOUN
fis-1247	170	24	,	,	PUNCT
fis-1247	170	25	where	where	SCONJ
fis-1247	170	26	/j	/j	ADP
fis-1247	170	27	jr	jr	PROPN
fis-1247	170	28	d	d	PROPN
fis-1247	170	29	x	x	PROPN
fis-1247	170	30	x	x	X
fis-1247	170	31	,	,	PUNCT
fis-1247	170	32	being	be	AUX
fis-1247	170	33	d	d	PRON
fis-1247	170	34	the	the	DET
fis-1247	170	35	radius	radius	NOUN
fis-1247	170	36	of	of	ADP
fis-1247	170	37	the	the	DET
fis-1247	170	38	domain	domain	NOUN
fis-1247	170	39	of	of	ADP
fis-1247	170	40	definition	definition	NOUN
fis-1247	170	41	of	of	ADP
fis-1247	170	42	the	the	DET
fis-1247	170	43	point	point	NOUN
fis-1247	170	44	x	x	PUNCT
fis-1247	170	45	(	(	PUNCT
fis-1247	170	46	smoothing	smooth	VERB
fis-1247	170	47	length	length	NOUN
fis-1247	170	48	)	)	PUNCT
fis-1247	170	49	.	.	PUNCT
fis-1247	171	1	making	make	VERB
fis-1247	171	2	use	use	NOUN
fis-1247	171	3	of	of	ADP
fis-1247	171	4	the	the	DET
fis-1247	171	5	mls	mls	PROPN
fis-1247	171	6	approximations	approximation	NOUN
fis-1247	171	7	for	for	ADP
fis-1247	171	8	the	the	DET
fis-1247	171	9	two	two	NUM
fis-1247	171	10	components	component	NOUN
fis-1247	171	11	of	of	ADP
fis-1247	171	12	the	the	DET
fis-1247	171	13	displacement	displacement	ADJ
fis-1247	171	14	field	field	NOUN
fis-1247	171	15	,	,	PUNCT
fis-1247	171	16	the	the	DET
fis-1247	171	17	kinematical	kinematical	ADJ
fis-1247	171	18	compatibility	compatibility	NOUN
fis-1247	171	19	conditions	condition	NOUN
fis-1247	171	20	for	for	ADP
fis-1247	171	21	the	the	DET
fis-1247	171	22	block	block	NOUN
fis-1247	171	23	and	and	CCONJ
fis-1247	171	24	for	for	ADP
fis-1247	171	25	the	the	DET
fis-1247	171	26	interfaces	interface	NOUN
fis-1247	171	27	are	be	AUX
fis-1247	171	28			ADJ
fis-1247	171	29			ADP
fis-1247	171	30			PROPN
fis-1247	171	31	,mb	,mb	PROPN
fis-1247	171	32	b	b	PROPN
fis-1247	171	33	b	b	X
fis-1247	171	34	m	m	VERB
fis-1247	171	35	m	m	VERB
fis-1247	171	36	i	i	PRON
fis-1247	171	37	i	i	PROPN
fis-1247	172	1	b	b	PROPN
fis-1247	172	2	b	b	X
fis-1247	172	3	m	m	ADV
fis-1247	172	4			PROPN
fis-1247	172	5	ε	ε	ADJ
fis-1247	172	6	cφ	cφ	PROPN
fis-1247	172	7	s	s	PROPN
fis-1247	172	8	u	u	NOUN
fis-1247	172	9	u	u	NOUN
fis-1247	172	10	φ	φ	PROPN
fis-1247	172	11	s	s	PROPN
fis-1247	172	12	φ	φ	PROPN
fis-1247	172	13	s	s	PROPN
fis-1247	172	14	u	u	NOUN
fis-1247	172	15	(	(	PUNCT
fis-1247	172	16	38	38	NUM
fis-1247	172	17	)	)	PUNCT
fis-1247	172	18	where	where	SCONJ
fis-1247	172	19	bφ	bφ	NOUN
fis-1247	172	20	and	and	CCONJ
fis-1247	172	21	iφ	iφ	NOUN
fis-1247	172	22	are	be	AUX
fis-1247	172	23	the	the	DET
fis-1247	172	24	approximation	approximation	NOUN
fis-1247	172	25	functions	function	NOUN
fis-1247	172	26	,	,	PUNCT
fis-1247	172	27	bs	bs	NOUN
fis-1247	172	28	and	and	CCONJ
fis-1247	172	29	is	be	AUX
fis-1247	172	30	are	be	AUX
fis-1247	172	31	the	the	DET
fis-1247	172	32	selectivity	selectivity	NOUN
fis-1247	172	33	matrices	matrix	NOUN
fis-1247	172	34	,	,	PUNCT
fis-1247	172	35	evaluated	evaluate	VERB
fis-1247	172	36	for	for	ADP
fis-1247	172	37	the	the	DET
fis-1247	172	38	block	block	NOUN
fis-1247	172	39	and	and	CCONJ
fis-1247	172	40	for	for	ADP
fis-1247	172	41	the	the	DET
fis-1247	172	42	interface	interface	NOUN
fis-1247	172	43	domains	domain	NOUN
fis-1247	172	44	,	,	PUNCT
fis-1247	172	45	respectively	respectively	ADV
fis-1247	172	46	.	.	PUNCT
fis-1247	173	1	c	c	PROPN
fis-1247	173	2	is	be	AUX
fis-1247	173	3	the	the	DET
fis-1247	173	4	classical	classical	ADJ
fis-1247	173	5	compatibility	compatibility	NOUN
fis-1247	173	6	matrix	matrix	NOUN
fis-1247	173	7	for	for	ADP
fis-1247	173	8	the	the	DET
fis-1247	173	9	plane	plane	NOUN
fis-1247	173	10	stress	stress	NOUN
fis-1247	173	11	case	case	NOUN
fis-1247	173	12	.	.	PUNCT
fis-1247	174	1	in	in	ADP
fis-1247	174	2	addition	addition	NOUN
fis-1247	174	3	,	,	PUNCT
fis-1247	174	4	the	the	DET
fis-1247	174	5	reaction	reaction	NOUN
fis-1247	174	6	forces	force	NOUN
fis-1247	174	7	on	on	ADP
fis-1247	174	8	the	the	DET
fis-1247	174	9	boundaries	boundary	NOUN
fis-1247	174	10	k	k	PROPN
fis-1247	174	11	are	be	AUX
fis-1247	174	12	approximated	approximate	VERB
fis-1247	174	13	in	in	ADP
fis-1247	174	14	terms	term	NOUN
fis-1247	174	15	of	of	ADP
fis-1247	174	16	nodal	nodal	ADJ
fis-1247	174	17	values	value	NOUN
fis-1247	174	18	r	r	NOUN
fis-1247	174	19	as	as	ADP
fis-1247	174	20			NOUN
fis-1247	174	21	r	r	PROPN
fis-1247	174	22	ψ	ψ	NOUN
fis-1247	174	23	x	x	X
fis-1247	174	24	r	r	NOUN
fis-1247	174	25	(	(	PUNCT
fis-1247	174	26	39	39	NUM
fis-1247	174	27	)	)	PUNCT
fis-1247	174	28	where	where	SCONJ
fis-1247	174	29			NOUN
fis-1247	174	30	ψ	ψ	PROPN
fis-1247	174	31	x	x	PRON
fis-1247	174	32	are	be	AUX
fis-1247	174	33	the	the	DET
fis-1247	174	34	approximation	approximation	NOUN
fis-1247	174	35	functions	function	NOUN
fis-1247	174	36	for	for	ADP
fis-1247	174	37	the	the	DET
fis-1247	174	38	reaction	reaction	NOUN
fis-1247	174	39	forces	force	NOUN
fis-1247	174	40	.	.	PUNCT
fis-1247	175	1	considering	consider	VERB
fis-1247	175	2	the	the	DET
fis-1247	175	3	kinematical	kinematical	ADJ
fis-1247	175	4	eq	eq	X
fis-1247	175	5	.	.	PUNCT
fis-1247	176	1	(	(	PUNCT
fis-1247	176	2	38	38	NUM
fis-1247	176	3	)	)	PUNCT
fis-1247	176	4	,	,	PUNCT
fis-1247	176	5	the	the	DET
fis-1247	176	6	approximation	approximation	NOUN
fis-1247	176	7	(	(	PUNCT
fis-1247	176	8	39	39	NUM
fis-1247	176	9	)	)	PUNCT
fis-1247	176	10	and	and	CCONJ
fis-1247	176	11	the	the	DET
fis-1247	176	12	elastic	elastic	ADJ
fis-1247	176	13	constitutive	constitutive	ADJ
fis-1247	176	14	laws	law	NOUN
fis-1247	176	15	for	for	ADP
fis-1247	176	16	the	the	DET
fis-1247	176	17	block	block	NOUN
fis-1247	176	18	(	(	PUNCT
fis-1247	176	19	17	17	NUM
fis-1247	176	20	)	)	PUNCT
fis-1247	176	21	and	and	CCONJ
fis-1247	176	22	for	for	ADP
fis-1247	176	23	the	the	DET
fis-1247	176	24	mortar	mortar	NOUN
fis-1247	176	25	joints	joint	NOUN
fis-1247	176	26	(	(	PUNCT
fis-1247	176	27	18	18	NUM
fis-1247	176	28	)	)	PUNCT
fis-1247	176	29	,	,	PUNCT
fis-1247	176	30	the	the	DET
fis-1247	176	31	weak	weak	ADJ
fis-1247	176	32	form	form	NOUN
fis-1247	176	33	of	of	ADP
fis-1247	176	34	the	the	DET
fis-1247	176	35	uc	uc	PROPN
fis-1247	176	36	equilibrium	equilibrium	NOUN
fis-1247	176	37	can	can	AUX
fis-1247	176	38	be	be	AUX
fis-1247	176	39	particularized	particularize	VERB
fis-1247	176	40	in	in	ADP
fis-1247	176	41	the	the	DET
fis-1247	176	42	following	follow	VERB
fis-1247	176	43	expression	expression	NOUN
fis-1247	176	44			NOUN
fis-1247	176	45			SYM
fis-1247	176	46			NOUN
fis-1247	177	1			SYM
fis-1247	177	2			NOUN
fis-1247	177	3			PROPN
fis-1247	177	4			ADJ
fis-1247	177	5			ADP
fis-1247	177	6			NOUN
fis-1247	177	7			PROPN
fis-1247	177	8	4	4	NUM
fis-1247	177	9	1	1	NUM
fis-1247	177	10	4	4	NUM
fis-1247	177	11	4	4	NUM
fis-1247	177	12	1	1	NUM
fis-1247	177	13	1	1	NUM
fis-1247	177	14	4	4	NUM
fis-1247	177	15	1	1	NUM
fis-1247	177	16	0	0	NUM
fis-1247	177	17	b	b	X
fis-1247	178	1	k	k	PROPN
fis-1247	178	2	k	k	PROPN
fis-1247	178	3	k	k	PROPN
fis-1247	178	4	k	k	PROPN
fis-1247	178	5	tt	tt	PROPN
fis-1247	178	6	t	t	PROPN
fis-1247	178	7	t	t	PROPN
fis-1247	178	8	t	t	PROPN
fis-1247	178	9	m	m	PROPN
fis-1247	178	10	b	b	PROPN
fis-1247	178	11	b	b	PROPN
fis-1247	178	12	b	b	PROPN
fis-1247	178	13	b	b	PROPN
fis-1247	178	14	b	b	PROPN
fis-1247	179	1	i	i	PRON
fis-1247	179	2	i	i	PROPN
fis-1247	180	1	b	b	PROPN
fis-1247	180	2	b	b	NOUN
fis-1247	181	1	i	i	PRON
fis-1247	181	2	i	i	PRON
fis-1247	182	1	i	i	PRON
fis-1247	183	1	b	b	PROPN
fis-1247	183	2	b	b	X
fis-1247	183	3	m	m	VERB
fis-1247	183	4	k	k	PROPN
fis-1247	184	1	pt	pt	PROPN
fis-1247	184	2	t	t	PROPN
fis-1247	184	3	t	t	PROPN
fis-1247	185	1	i	i	PRON
fis-1247	185	2	i	i	PROPN
fis-1247	186	1	b	b	X
fis-1247	186	2	b	b	NOUN
fis-1247	187	1	i	i	PRON
fis-1247	187	2	m	m	VERB
fis-1247	188	1	i	i	INTJ
fis-1247	189	1	i	i	PRON
fis-1247	190	1	i	i	PRON
fis-1247	191	1	i	i	VERB
fis-1247	191	2	k	k	PROPN
fis-1247	192	1	k	k	PROPN
fis-1247	192	2	t	t	PROPN
fis-1247	192	3	t	t	X
fis-1247	193	1	i	i	PRON
fis-1247	193	2	i	i	PRON
fis-1247	194	1	i	i	PRON
fis-1247	194	2	i	i	VERB
fis-1247	194	3	m	m	VERB
fis-1247	194	4	m	m	VERB
fis-1247	194	5	k	k	X
fis-1247	195	1	d	d	PROPN
fis-1247	195	2	d	d	PROPN
fis-1247	195	3	d	d	PROPN
fis-1247	195	4	d	d	X
fis-1247	195	5	d	d	X
fis-1247	195	6			NUM
fis-1247	195	7			NUM
fis-1247	195	8			ADV
fis-1247	195	9			VERB
fis-1247	195	10			NUM
fis-1247	195	11			NOUN
fis-1247	195	12			VERB
fis-1247	195	13			PRON
fis-1247	195	14			VERB
fis-1247	195	15			PROPN
fis-1247	195	16			PROPN
fis-1247	195	17			PROPN
fis-1247	195	18			PUNCT
fis-1247	195	19			PROPN
fis-1247	195	20			PROPN
fis-1247	195	21			VERB
fis-1247	195	22			PROPN
fis-1247	195	23			PUNCT
fis-1247	195	24			NOUN
fis-1247	195	25			NOUN
fis-1247	195	26			NOUN
fis-1247	195	27			PROPN
fis-1247	195	28			PROPN
fis-1247	195	29			VERB
fis-1247	195	30			NOUN
fis-1247	195	31			VERB
fis-1247	195	32			PROPN
fis-1247	195	33			NUM
fis-1247	195	34			PROPN
fis-1247	195	35			NOUN
fis-1247	195	36			VERB
fis-1247	195	37			NOUN
fis-1247	195	38			NOUN
fis-1247	195	39			PUNCT
fis-1247	195	40			X
fis-1247	195	41			NUM
fis-1247	195	42			NOUN
fis-1247	195	43			X
fis-1247	195	44			PUNCT
fis-1247	196	1	u	u	PROPN
fis-1247	196	2	s	s	PROPN
fis-1247	196	3	φ	φ	PROPN
fis-1247	196	4	c	c	PROPN
fis-1247	196	5	e	e	PROPN
fis-1247	196	6	cφ	cφ	PROPN
fis-1247	196	7	s	s	PROPN
fis-1247	196	8	φ	φ	PROPN
fis-1247	196	9	s	s	PROPN
fis-1247	196	10	φ	φ	PROPN
fis-1247	196	11	s	s	PROPN
fis-1247	196	12	k	k	PROPN
fis-1247	196	13	φ	φ	PROPN
fis-1247	196	14	s	s	PROPN
fis-1247	196	15	φ	φ	PROPN
fis-1247	196	16	s	s	PROPN
fis-1247	196	17	u	u	PROPN
fis-1247	196	18	φ	φ	PROPN
fis-1247	196	19	s	s	PROPN
fis-1247	196	20	φ	φ	PROPN
fis-1247	196	21	s	s	PROPN
fis-1247	196	22	k	k	PROPN
fis-1247	196	23	u	u	PROPN
fis-1247	196	24	s	s	PROPN
fis-1247	196	25	φ	φ	X
fis-1247	196	26	ψ	ψ	X
fis-1247	196	27	s	s	X
fis-1247	196	28	r	r	NOUN
fis-1247	196	29	r	r	NOUN
fis-1247	196	30	s	s	NOUN
fis-1247	196	31	ψ	ψ	X
fis-1247	196	32	φ	φ	PROPN
fis-1247	196	33	s	s	PROPN
fis-1247	196	34	u	u	X
fis-1247	196	35	u	u	NOUN
fis-1247	196	36	(	(	PUNCT
fis-1247	196	37	40	40	NUM
fis-1247	196	38	)	)	PUNCT
fis-1247	196	39	g.	g.	PROPN
fis-1247	196	40	gianbanco	gianbanco	PROPN
fis-1247	196	41	et	et	PROPN
fis-1247	196	42	alii	alii	PROPN
fis-1247	196	43	,	,	PUNCT
fis-1247	196	44	frattura	frattura	PROPN
fis-1247	196	45	ed	ed	PROPN
fis-1247	196	46	integrità	integrità	PROPN
fis-1247	196	47	strutturale	strutturale	PROPN
fis-1247	196	48	,	,	PUNCT
fis-1247	196	49	29	29	NUM
fis-1247	196	50	(	(	PUNCT
fis-1247	196	51	2014	2014	NUM
fis-1247	196	52	)	)	PUNCT
fis-1247	196	53	150	150	NUM
fis-1247	196	54	-	-	SYM
fis-1247	196	55	165	165	NUM
fis-1247	196	56	;	;	PUNCT
fis-1247	196	57	doi	doi	NOUN
fis-1247	196	58	:	:	PUNCT
fis-1247	196	59	10.3221	10.3221	NUM
fis-1247	196	60	/	/	SYM
fis-1247	196	61	igf	igf	PROPN
fis-1247	196	62	-	-	PUNCT
fis-1247	196	63	esis.29.14	esis.29.14	PROPN
fis-1247	196	64	158	158	NUM
fis-1247	196	65	where	where	SCONJ
fis-1247	196	66	ik	ik	PROPN
fis-1247	196	67	is	be	AUX
fis-1247	196	68	the	the	DET
fis-1247	196	69	stiffness	stiffness	ADJ
fis-1247	196	70	matrix	matrix	NOUN
fis-1247	196	71	for	for	ADP
fis-1247	196	72	interfaces	interface	NOUN
fis-1247	196	73	,	,	PUNCT
fis-1247	196	74	defined	define	VERB
fis-1247	196	75	as	as	ADP
fis-1247	196	76	/i	/i	PUNCT
fis-1247	196	77	i	i	PRON
fis-1247	196	78	hk	hk	X
fis-1247	196	79	e	e	X
fis-1247	196	80	.	.	PUNCT
fis-1247	197	1	making	make	VERB
fis-1247	197	2	the	the	DET
fis-1247	197	3	following	follow	VERB
fis-1247	197	4	positions	position	NOUN
fis-1247	197	5			NOUN
fis-1247	197	6			SYM
fis-1247	197	7			NOUN
fis-1247	197	8			NOUN
fis-1247	197	9	4	4	NUM
fis-1247	197	10	1	1	NUM
fis-1247	197	11	b	b	X
fis-1247	197	12	k	k	X
fis-1247	197	13	tt	tt	PROPN
fis-1247	198	1	t	t	PROPN
fis-1247	198	2	t	t	PROPN
fis-1247	198	3	b	b	PROPN
fis-1247	198	4	b	b	PROPN
fis-1247	198	5	b	b	PROPN
fis-1247	198	6	b	b	PROPN
fis-1247	198	7	b	b	PROPN
fis-1247	199	1	i	i	PRON
fis-1247	200	1	i	i	PROPN
fis-1247	201	1	b	b	PROPN
fis-1247	202	1	b	b	NOUN
fis-1247	203	1	i	i	PRON
fis-1247	204	1	i	i	PRON
fis-1247	205	1	i	i	PRON
fis-1247	206	1	b	b	PROPN
fis-1247	206	2	b	b	X
fis-1247	207	1	k	k	PROPN
fis-1247	207	2	d	d	PROPN
fis-1247	207	3	d	d	X
fis-1247	207	4			PRON
fis-1247	207	5			VERB
fis-1247	207	6			PROPN
fis-1247	207	7			PROPN
fis-1247	207	8			PUNCT
fis-1247	207	9			PROPN
fis-1247	207	10			PROPN
fis-1247	207	11			CCONJ
fis-1247	207	12	k	k	PROPN
fis-1247	207	13	s	s	NUM
fis-1247	207	14	φ	φ	PROPN
fis-1247	207	15	c	c	PROPN
fis-1247	207	16	e	e	PROPN
fis-1247	207	17	cφ	cφ	PROPN
fis-1247	207	18	s	s	PROPN
fis-1247	207	19	φ	φ	PROPN
fis-1247	207	20	s	s	PROPN
fis-1247	207	21	φ	φ	PROPN
fis-1247	207	22	s	s	PROPN
fis-1247	207	23	k	k	PROPN
fis-1247	207	24	φ	φ	PROPN
fis-1247	207	25	s	s	PROPN
fis-1247	207	26	φ	φ	PROPN
fis-1247	207	27	s	s	X
fis-1247	207	28	(	(	PUNCT
fis-1247	207	29	41	41	NUM
fis-1247	207	30	)	)	PUNCT
fis-1247	207	31	4	4	NUM
fis-1247	207	32	1	1	NUM
fis-1247	207	33	k	k	NOUN
fis-1247	207	34	t	t	X
fis-1247	208	1	t	t	PROPN
fis-1247	209	1	i	i	PRON
fis-1247	209	2	i	i	PRON
fis-1247	210	1	i	i	PRON
fis-1247	211	1	i	i	VERB
fis-1247	211	2	k	k	NOUN
fis-1247	212	1	d	d	NOUN
fis-1247	212	2			PROPN
fis-1247	212	3			VERB
fis-1247	212	4			NUM
fis-1247	212	5			NUM
fis-1247	212	6	g	g	SYM
fis-1247	212	7	s	s	NOUN
fis-1247	212	8	φ	φ	NOUN
fis-1247	212	9	ψ	ψ	X
fis-1247	212	10	s	s	X
fis-1247	212	11	(	(	PUNCT
fis-1247	212	12	42	42	NUM
fis-1247	212	13	)	)	PUNCT
fis-1247	212	14			NOUN
fis-1247	213	1			PROPN
fis-1247	213	2			NOUN
fis-1247	213	3			NOUN
fis-1247	213	4	4	4	NUM
fis-1247	213	5	1	1	NUM
fis-1247	213	6	k	k	NOUN
fis-1247	213	7	pt	pt	NOUN
fis-1247	213	8	p	p	X
fis-1247	214	1	i	i	PRON
fis-1247	214	2	i	i	PROPN
fis-1247	215	1	b	b	PROPN
fis-1247	215	2	b	b	VERB
fis-1247	216	1	i	i	PRON
fis-1247	216	2	m	m	VERB
fis-1247	216	3	k	k	VERB
fis-1247	217	1	d	d	NOUN
fis-1247	217	2			PROPN
fis-1247	217	3			VERB
fis-1247	217	4			NUM
fis-1247	217	5			NOUN
fis-1247	217	6			NUM
fis-1247	217	7	f	f	NUM
fis-1247	217	8	φ	φ	PROPN
fis-1247	217	9	s	s	PROPN
fis-1247	217	10	φ	φ	PROPN
fis-1247	217	11	s	s	PROPN
fis-1247	217	12	k	k	PROPN
fis-1247	217	13	u	u	PROPN
fis-1247	217	14	(	(	PUNCT
fis-1247	217	15	43	43	NUM
fis-1247	217	16	)	)	PUNCT
fis-1247	217	17	4	4	NUM
fis-1247	217	18	4	4	NUM
fis-1247	217	19	1	1	NUM
fis-1247	217	20	1	1	NUM
fis-1247	218	1	k	k	NOUN
fis-1247	218	2	k	k	PROPN
fis-1247	218	3	t	t	PROPN
fis-1247	218	4	t	t	PROPN
fis-1247	218	5	t	t	PROPN
fis-1247	218	6	t	t	PROPN
fis-1247	219	1	t	t	PROPN
fis-1247	219	2	m	m	VERB
fis-1247	220	1	i	i	PRON
fis-1247	220	2	i	i	PRON
fis-1247	220	3	m	m	VERB
fis-1247	220	4	i	i	INTJ
fis-1247	220	5	i	i	PRON
fis-1247	220	6	m	m	VERB
fis-1247	220	7	m	m	VERB
fis-1247	220	8	m	m	VERB
fis-1247	220	9	k	k	X
fis-1247	221	1	k	k	PROPN
fis-1247	221	2	d	d	PROPN
fis-1247	221	3	d	d	PROPN
fis-1247	221	4			PROPN
fis-1247	221	5			PROPN
fis-1247	221	6			VERB
fis-1247	221	7			PRON
fis-1247	221	8			VERB
fis-1247	221	9			PROPN
fis-1247	221	10			NUM
fis-1247	221	11			PROPN
fis-1247	221	12			NUM
fis-1247	221	13	u	u	NOUN
fis-1247	221	14	s	s	PART
fis-1247	221	15	ψ	ψ	X
fis-1247	221	16	u	u	NOUN
fis-1247	221	17	s	s	PROPN
fis-1247	221	18	ψ	ψ	X
fis-1247	221	19	d	d	X
fis-1247	221	20	ε	ε	PROPN
fis-1247	221	21	q	q	PROPN
fis-1247	221	22	ε	ε	PROPN
fis-1247	221	23	(	(	PUNCT
fis-1247	221	24	44	44	NUM
fis-1247	221	25	)	)	PUNCT
fis-1247	221	26	the	the	DET
fis-1247	221	27	(	(	PUNCT
fis-1247	221	28	40	40	NUM
fis-1247	221	29	)	)	PUNCT
fis-1247	221	30	becomes	become	VERB
fis-1247	221	31			NOUN
fis-1247	221	32			PUNCT
fis-1247	221	33			NOUN
fis-1247	221	34			PUNCT
fis-1247	221	35	0	0	NUM
fis-1247	221	36	t	t	PROPN
fis-1247	221	37	t	t	PROPN
fis-1247	221	38	t	t	PROPN
fis-1247	221	39	m	m	VERB
fis-1247	221	40	m	m	VERB
fis-1247	221	41	m	m	NOUN
fis-1247	221	42	m	m	NOUN
fis-1247	221	43			NUM
fis-1247	221	44			PROPN
fis-1247	221	45			PROPN
fis-1247	221	46	u	u	PROPN
fis-1247	221	47	k	k	PROPN
fis-1247	221	48	u	u	NOUN
fis-1247	221	49	g	g	NOUN
fis-1247	222	1	r	r	NOUN
fis-1247	222	2	r	r	NOUN
fis-1247	222	3	g	g	NOUN
fis-1247	222	4	u	u	X
fis-1247	222	5	u	u	NOUN
fis-1247	222	6	(	(	PUNCT
fis-1247	222	7	45	45	NUM
fis-1247	222	8	)	)	PUNCT
fis-1247	222	9	since	since	SCONJ
fis-1247	222	10	eq	eq	ADJ
fis-1247	222	11	.	.	PUNCT
fis-1247	223	1	(	(	PUNCT
fis-1247	223	2	45	45	NUM
fis-1247	223	3	)	)	PUNCT
fis-1247	223	4	has	have	VERB
fis-1247	223	5	to	to	PART
fis-1247	223	6	hold	hold	VERB
fis-1247	223	7	for	for	ADP
fis-1247	223	8	any	any	DET
fis-1247	223	9	arbitrary	arbitrary	ADJ
fis-1247	223	10	mu	mu	NOUN
fis-1247	223	11	and	and	CCONJ
fis-1247	223	12	r	r	NOUN
fis-1247	223	13	,	,	PUNCT
fis-1247	223	14	the	the	DET
fis-1247	223	15	governing	govern	VERB
fis-1247	223	16	equations	equation	NOUN
fis-1247	223	17	of	of	ADP
fis-1247	223	18	the	the	DET
fis-1247	223	19	uc	uc	PROPN
fis-1247	223	20	are	be	AUX
fis-1247	223	21	obtained	obtain	VERB
fis-1247	223	22	,	,	PUNCT
fis-1247	223	23	in	in	ADP
fis-1247	223	24	the	the	DET
fis-1247	223	25	following	follow	VERB
fis-1247	223	26	matrix	matrix	NOUN
fis-1247	223	27	form	form	NOUN
fis-1247	223	28	:	:	PUNCT
fis-1247	223	29	m	m	VERB
fis-1247	223	30	p	p	X
fis-1247	223	31	t	t	NOUN
fis-1247	223	32	m	m	NOUN
fis-1247	223	33			NOUN
fis-1247	223	34			NOUN
fis-1247	223	35			PROPN
fis-1247	223	36			ADJ
fis-1247	223	37			PROPN
fis-1247	223	38			NOUN
fis-1247	224	1			PROPN
fis-1247	224	2			ADJ
fis-1247	224	3			NOUN
fis-1247	224	4			NOUN
fis-1247	224	5			NOUN
fis-1247	224	6			NOUN
fis-1247	224	7			NOUN
fis-1247	224	8			PROPN
fis-1247	224	9			NOUN
fis-1247	224	10			PROPN
fis-1247	224	11			VERB
fis-1247	224	12			PROPN
fis-1247	224	13	k	k	PROPN
fis-1247	225	1	g	g	PROPN
fis-1247	225	2	u	u	PROPN
fis-1247	225	3	f	f	PROPN
fis-1247	225	4	g	g	NOUN
fis-1247	225	5	0	0	NUM
fis-1247	225	6	r	r	NOUN
fis-1247	225	7	u	u	NOUN
fis-1247	225	8	(	(	PUNCT
fis-1247	225	9	46	46	NUM
fis-1247	225	10	)	)	PUNCT
fis-1247	225	11	in	in	ADP
fis-1247	225	12	order	order	NOUN
fis-1247	225	13	to	to	PART
fis-1247	225	14	evaluate	evaluate	VERB
fis-1247	225	15	the	the	DET
fis-1247	225	16	integrals	integral	NOUN
fis-1247	225	17	(	(	PUNCT
fis-1247	225	18	41)-(44	41)-(44	NUM
fis-1247	225	19	)	)	PUNCT
fis-1247	225	20	,	,	PUNCT
fis-1247	225	21	the	the	DET
fis-1247	225	22	gauss	gauss	ADJ
fis-1247	225	23	quadrature	quadrature	NOUN
fis-1247	225	24	rule	rule	NOUN
fis-1247	225	25	is	be	AUX
fis-1247	225	26	adopted	adopt	VERB
fis-1247	225	27	with	with	ADP
fis-1247	225	28	nine	nine	NUM
fis-1247	225	29	sample	sample	NOUN
fis-1247	225	30	points	point	NOUN
fis-1247	225	31	in	in	ADP
fis-1247	225	32	the	the	DET
fis-1247	225	33	block	block	NOUN
fis-1247	225	34	domain	domain	NOUN
fis-1247	225	35	and	and	CCONJ
fis-1247	225	36	three	three	NUM
fis-1247	225	37	sample	sample	NOUN
fis-1247	225	38	points	point	NOUN
fis-1247	225	39	for	for	ADP
fis-1247	225	40	each	each	DET
fis-1247	225	41	interface	interface	NOUN
fis-1247	225	42	.	.	PUNCT
fis-1247	226	1	furthermore	furthermore	ADV
fis-1247	226	2	,	,	PUNCT
fis-1247	226	3	it	it	PRON
fis-1247	226	4	is	be	AUX
fis-1247	226	5	assumed	assume	VERB
fis-1247	226	6	i	i	PRON
fis-1247	226	7	iψ	iψ	NOUN
fis-1247	226	8	φ	φ	PROPN
fis-1247	226	9	.	.	PUNCT
fis-1247	227	1	in	in	ADP
fis-1247	227	2	order	order	NOUN
fis-1247	227	3	to	to	PART
fis-1247	227	4	be	be	AUX
fis-1247	227	5	introduced	introduce	VERB
fis-1247	227	6	in	in	ADP
fis-1247	227	7	a	a	DET
fis-1247	227	8	step	step	NOUN
fis-1247	227	9	-	-	PUNCT
fis-1247	227	10	by	by	ADP
fis-1247	227	11	-	-	PUNCT
fis-1247	227	12	step	step	NOUN
fis-1247	227	13	algorithm	algorithm	NOUN
fis-1247	227	14	,	,	PUNCT
fis-1247	227	15	the	the	DET
fis-1247	227	16	governing	governing	NOUN
fis-1247	227	17	eq	eq	X
fis-1247	227	18	.	.	PUNCT
fis-1247	227	19	(	(	PUNCT
fis-1247	227	20	46	46	NUM
fis-1247	227	21	)	)	PUNCT
fis-1247	227	22	need	need	VERB
fis-1247	227	23	to	to	PART
fis-1247	227	24	be	be	AUX
fis-1247	227	25	rewritten	rewrite	VERB
fis-1247	227	26	in	in	ADP
fis-1247	227	27	a	a	DET
fis-1247	227	28	discrete	discrete	ADJ
fis-1247	227	29	formulation	formulation	NOUN
fis-1247	227	30	.	.	PUNCT
fis-1247	228	1	a	a	DET
fis-1247	228	2	newton	newton	PROPN
fis-1247	228	3	-	-	PUNCT
fis-1247	228	4	raphson	raphson	NOUN
fis-1247	228	5	procedure	procedure	NOUN
fis-1247	228	6	is	be	AUX
fis-1247	228	7	employed	employ	VERB
fis-1247	228	8	at	at	ADP
fis-1247	228	9	the	the	DET
fis-1247	228	10	mesoscale	mesoscale	NOUN
fis-1247	228	11	to	to	PART
fis-1247	228	12	find	find	VERB
fis-1247	228	13	the	the	DET
fis-1247	228	14	solution	solution	NOUN
fis-1247	228	15	of	of	ADP
fis-1247	228	16	the	the	DET
fis-1247	228	17	bvp	bvp	NOUN
fis-1247	228	18	for	for	ADP
fis-1247	228	19	a	a	DET
fis-1247	228	20	single	single	ADJ
fis-1247	228	21	load	load	NOUN
fis-1247	228	22	step	step	NOUN
fis-1247	228	23	.	.	PUNCT
fis-1247	229	1	each	each	DET
fis-1247	229	2	iteration	iteration	NOUN
fis-1247	229	3	of	of	ADP
fis-1247	229	4	the	the	DET
fis-1247	229	5	load	load	NOUN
fis-1247	229	6	step	step	NOUN
fis-1247	229	7	is	be	AUX
fis-1247	229	8	divided	divide	VERB
fis-1247	229	9	in	in	ADP
fis-1247	229	10	an	an	DET
fis-1247	229	11	elastic	elastic	ADJ
fis-1247	229	12	trial	trial	NOUN
fis-1247	229	13	predictor	predictor	NOUN
fis-1247	229	14	stage	stage	NOUN
fis-1247	229	15	and	and	CCONJ
fis-1247	229	16	a	a	DET
fis-1247	229	17	plastic	plastic	ADJ
fis-1247	229	18	corrector	corrector	NOUN
fis-1247	229	19	stage	stage	NOUN
fis-1247	229	20	.	.	PUNCT
fis-1247	230	1	consistent	consistent	ADJ
fis-1247	230	2	tangent	tangent	NOUN
fis-1247	230	3	stiffness	stiffness	NOUN
fis-1247	230	4	matrix	matrix	NOUN
fis-1247	230	5	evaluation	evaluation	NOUN
fis-1247	230	6	in	in	ADP
fis-1247	230	7	the	the	DET
fis-1247	230	8	time	time	NOUN
fis-1247	230	9	step	step	NOUN
fis-1247	230	10	,	,	PUNCT
fis-1247	230	11	1n	1n	PROPN
fis-1247	230	12	nt	not	PART
fis-1247	230	13	t	t	PROPN
fis-1247	230	14			PROPN
fis-1247	230	15			PROPN
fis-1247	230	16			PROPN
fis-1247	230	17	the	the	DET
fis-1247	230	18	increment	increment	NOUN
fis-1247	230	19	of	of	ADP
fis-1247	230	20	boundary	boundary	ADJ
fis-1247	230	21	displacements	displacement	NOUN
fis-1247	230	22	mu	mu	PROPN
fis-1247	230	23	is	be	AUX
fis-1247	230	24	assigned	assign	VERB
fis-1247	230	25	.	.	PUNCT
fis-1247	231	1	the	the	DET
fis-1247	231	2	inverse	inverse	ADJ
fis-1247	231	3	form	form	NOUN
fis-1247	231	4	of	of	ADP
fis-1247	231	5	equation	equation	NOUN
fis-1247	231	6	system	system	NOUN
fis-1247	231	7	(	(	PUNCT
fis-1247	231	8	46	46	NUM
fis-1247	231	9	)	)	PUNCT
fis-1247	231	10	reads	read	VERB
fis-1247	231	11	11	11	NUM
fis-1247	231	12	12	12	NUM
fis-1247	231	13	21	21	NUM
fis-1247	231	14	22	22	NUM
fis-1247	231	15	m	m	NOUN
fis-1247	231	16	p	p	NOUN
fis-1247	231	17	m	m	NOUN
fis-1247	231	18			NOUN
fis-1247	232	1			NOUN
fis-1247	232	2			INTJ
fis-1247	232	3			PROPN
fis-1247	232	4			INTJ
fis-1247	232	5			PROPN
fis-1247	232	6			NOUN
fis-1247	232	7			PROPN
fis-1247	232	8			ADJ
fis-1247	232	9			NOUN
fis-1247	232	10			NOUN
fis-1247	232	11			NOUN
fis-1247	232	12			PROPN
fis-1247	232	13			PROPN
fis-1247	232	14			PROPN
fis-1247	232	15			AUX
fis-1247	232	16			PROPN
fis-1247	232	17			VERB
fis-1247	232	18			PROPN
fis-1247	232	19	u	u	PROPN
fis-1247	232	20	b	b	PROPN
fis-1247	232	21	b	b	PROPN
fis-1247	232	22	f	f	PROPN
fis-1247	233	1	r	r	NOUN
fis-1247	233	2	b	b	PROPN
fis-1247	233	3	b	b	X
fis-1247	233	4	u	u	NOUN
fis-1247	233	5	separable	separable	ADJ
fis-1247	233	6	in	in	ADP
fis-1247	233	7	the	the	DET
fis-1247	233	8	two	two	NUM
fis-1247	233	9	expressions	expression	NOUN
fis-1247	233	10	11	11	NUM
fis-1247	233	11	12	12	NUM
fis-1247	233	12	m	m	NOUN
fis-1247	233	13	p	p	NOUN
fis-1247	233	14	m	m	ADJ
fis-1247	233	15			NOUN
fis-1247	233	16			NOUN
fis-1247	233	17			X
fis-1247	233	18	u	u	X
fis-1247	234	1	b	b	PROPN
fis-1247	234	2	f	f	PROPN
fis-1247	234	3	b	b	X
fis-1247	234	4	u	u	PROPN
fis-1247	234	5	(	(	PUNCT
fis-1247	234	6	47	47	NUM
fis-1247	234	7	)	)	PUNCT
fis-1247	234	8	21	21	NUM
fis-1247	234	9	22p	22p	NOUN
fis-1247	234	10	m	m	VERB
fis-1247	234	11			PRON
fis-1247	234	12			NOUN
fis-1247	234	13			ADV
fis-1247	234	14	r	r	PROPN
fis-1247	234	15	b	b	PROPN
fis-1247	234	16	f	f	PROPN
fis-1247	234	17	b	b	X
fis-1247	234	18	u	u	PROPN
fis-1247	234	19	(	(	PUNCT
fis-1247	234	20	48	48	NUM
fis-1247	234	21	)	)	PUNCT
fis-1247	234	22	it	it	PRON
fis-1247	234	23	is	be	AUX
fis-1247	234	24	clear	clear	ADJ
fis-1247	234	25	how	how	SCONJ
fis-1247	234	26	nodal	nodal	ADJ
fis-1247	234	27	displacements	displacement	NOUN
fis-1247	234	28	and	and	CCONJ
fis-1247	234	29	reactions	reaction	NOUN
fis-1247	234	30	are	be	AUX
fis-1247	234	31	dependent	dependent	ADJ
fis-1247	234	32	on	on	ADP
fis-1247	234	33	two	two	NUM
fis-1247	234	34	contributes	contribute	NOUN
fis-1247	234	35	that	that	PRON
fis-1247	234	36	can	can	AUX
fis-1247	234	37	be	be	AUX
fis-1247	234	38	assumed	assume	VERB
fis-1247	234	39	equal	equal	ADJ
fis-1247	234	40	to	to	ADP
fis-1247	234	41	an	an	DET
fis-1247	234	42	elastic	elastic	ADJ
fis-1247	234	43	part	part	NOUN
fis-1247	234	44	(	(	PUNCT
fis-1247	234	45	function	function	NOUN
fis-1247	234	46	of	of	ADP
fis-1247	234	47	mu	mu	PROPN
fis-1247	234	48	)	)	PUNCT
fis-1247	234	49	and	and	CCONJ
fis-1247	234	50	a	a	DET
fis-1247	234	51	plastic	plastic	ADJ
fis-1247	234	52	part	part	NOUN
fis-1247	234	53	(	(	PUNCT
fis-1247	234	54	function	function	NOUN
fis-1247	234	55	of	of	ADP
fis-1247	234	56	pf	pf	PROPN
fis-1247	234	57	)	)	PUNCT
fis-1247	234	58	.	.	PUNCT
fis-1247	235	1	recalling	recall	VERB
fis-1247	235	2	(	(	PUNCT
fis-1247	235	3	13	13	NUM
fis-1247	235	4	)	)	PUNCT
fis-1247	235	5	,	,	PUNCT
fis-1247	235	6	(	(	PUNCT
fis-1247	235	7	39	39	NUM
fis-1247	235	8	)	)	PUNCT
fis-1247	235	9	,	,	PUNCT
fis-1247	235	10	(	(	PUNCT
fis-1247	235	11	44	44	NUM
fis-1247	235	12	)	)	PUNCT
fis-1247	235	13	and	and	CCONJ
fis-1247	235	14	(	(	PUNCT
fis-1247	235	15	48	48	NUM
fis-1247	235	16	)	)	PUNCT
fis-1247	235	17	it	it	PRON
fis-1247	235	18	is	be	AUX
fis-1247	235	19	simply	simply	ADV
fis-1247	235	20	obtained	obtain	VERB
fis-1247	235	21	that	that	SCONJ
fis-1247	235	22	22	22	NUM
fis-1247	235	23	21	21	NUM
fis-1247	235	24	1	1	NUM
fis-1247	235	25	1	1	NUM
fis-1247	235	26	t	t	NOUN
fis-1247	235	27	m	m	NOUN
fis-1247	235	28	m	m	VERB
fis-1247	235	29	p	p	ADJ
fis-1247	236	1	uc	uc	PROPN
fis-1247	237	1	uc	uc	INTJ
fis-1247	237	2			NOUN
fis-1247	237	3			PROPN
fis-1247	237	4			NOUN
fis-1247	237	5			PROPN
fis-1247	237	6			PUNCT
fis-1247	237	7			NUM
fis-1247	237	8			NOUN
fis-1247	237	9			PROPN
fis-1247	237	10			PROPN
fis-1247	238	1			PROPN
fis-1247	239	1			PROPN
fis-1247	239	2			NOUN
fis-1247	239	3			NOUN
fis-1247	239	4			NOUN
fis-1247	239	5			PROPN
fis-1247	239	6			NOUN
fis-1247	239	7	σ	σ	NOUN
fis-1247	239	8	q	q	PROPN
fis-1247	239	9	b	b	X
fis-1247	239	10	q	q	X
fis-1247	239	11	ε	ε	PROPN
fis-1247	239	12	q	q	PROPN
fis-1247	239	13	b	b	PROPN
fis-1247	239	14	f	f	X
fis-1247	239	15	(	(	PUNCT
fis-1247	239	16	49	49	NUM
fis-1247	239	17	)	)	PUNCT
fis-1247	239	18	the	the	DET
fis-1247	239	19	macroscopic	macroscopic	ADJ
fis-1247	239	20	tangent	tangent	NOUN
fis-1247	239	21	stiffness	stiffness	NOUN
fis-1247	239	22	matrix	matrix	NOUN
fis-1247	239	23	is	be	AUX
fis-1247	239	24	defined	define	VERB
fis-1247	239	25	as	as	ADP
fis-1247	239	26	:	:	PUNCT
fis-1247	239	27	g.	g.	PROPN
fis-1247	239	28	gianbanco	gianbanco	PROPN
fis-1247	239	29	et	et	PROPN
fis-1247	239	30	alii	alii	PROPN
fis-1247	239	31	,	,	PUNCT
fis-1247	239	32	frattura	frattura	PROPN
fis-1247	239	33	ed	ed	PROPN
fis-1247	239	34	integrità	integrità	PROPN
fis-1247	239	35	strutturale	strutturale	PROPN
fis-1247	239	36	,	,	PUNCT
fis-1247	239	37	29	29	NUM
fis-1247	239	38	(	(	PUNCT
fis-1247	239	39	2014	2014	NUM
fis-1247	239	40	)	)	PUNCT
fis-1247	239	41	150	150	NUM
fis-1247	239	42	-	-	SYM
fis-1247	239	43	166	166	NUM
fis-1247	239	44	;	;	PUNCT
fis-1247	239	45	doi	doi	NOUN
fis-1247	239	46	:	:	PUNCT
fis-1247	239	47	10.3221	10.3221	NUM
fis-1247	239	48	/	/	SYM
fis-1247	239	49	igf	igf	PROPN
fis-1247	239	50	-	-	PUNCT
fis-1247	239	51	esis.29.14	esis.29.14	PROPN
fis-1247	239	52	159	159	NUM
fis-1247	239	53	22	22	NUM
fis-1247	239	54	21	21	NUM
fis-1247	239	55	1	1	NUM
fis-1247	239	56	1	1	NUM
fis-1247	239	57	pct	pct	NOUN
fis-1247	239	58	tm	tm	NOUN
fis-1247	239	59	m	m	NOUN
fis-1247	239	60	uc	uc	PROPN
fis-1247	239	61	uc	uc	PROPN
fis-1247	239	62	m	m	PROPN
fis-1247	239	63			NOUN
fis-1247	239	64			PROPN
fis-1247	239	65			NOUN
fis-1247	239	66			VERB
fis-1247	239	67			NUM
fis-1247	239	68			PROPN
fis-1247	239	69			PROPN
fis-1247	239	70			PROPN
fis-1247	240	1			PROPN
fis-1247	240	2			PROPN
fis-1247	240	3			PROPN
fis-1247	241	1			PROPN
fis-1247	241	2			PROPN
fis-1247	241	3			VERB
fis-1247	241	4			PROPN
fis-1247	241	5			NOUN
fis-1247	241	6	fσ	fσ	ADP
fis-1247	241	7	e	e	NOUN
fis-1247	241	8	q	q	PROPN
fis-1247	241	9	b	b	X
fis-1247	241	10	q	q	X
fis-1247	241	11	q	q	X
fis-1247	241	12	b	b	X
fis-1247	241	13	ε	ε	PROPN
fis-1247	241	14	ε	ε	PROPN
fis-1247	241	15	(	(	PUNCT
fis-1247	241	16	50	50	NUM
fis-1247	241	17	)	)	PUNCT
fis-1247	241	18	in	in	ADP
fis-1247	241	19	the	the	DET
fis-1247	241	20	previous	previous	ADJ
fis-1247	241	21	equation	equation	NOUN
fis-1247	241	22	the	the	DET
fis-1247	241	23	second	second	ADJ
fis-1247	241	24	term	term	NOUN
fis-1247	241	25	has	have	VERB
fis-1247	241	26	to	to	PART
fis-1247	241	27	be	be	AUX
fis-1247	241	28	explicitly	explicitly	ADV
fis-1247	241	29	evaluated	evaluate	VERB
fis-1247	241	30	.	.	PUNCT
fis-1247	242	1	after	after	ADP
fis-1247	242	2	mathematical	mathematical	ADJ
fis-1247	242	3	manipulation	manipulation	NOUN
fis-1247	242	4	it	it	PRON
fis-1247	242	5	is	be	AUX
fis-1247	242	6	possible	possible	ADJ
fis-1247	242	7	to	to	PART
fis-1247	242	8	write	write	VERB
fis-1247	242	9	that	that	DET
fis-1247	242	10			ADJ
fis-1247	242	11			SYM
fis-1247	242	12			PROPN
fis-1247	242	13	p	p	PROPN
fis-1247	242	14	p	p	PROPN
fis-1247	242	15	m	m	PROPN
fis-1247	242	16	m	m	VERB
fis-1247	242	17	m	m	VERB
fis-1247	242	18	m	m	VERB
fis-1247	242	19	m	m	VERB
fis-1247	242	20	m	m	NOUN
fis-1247	242	21			NUM
fis-1247	243	1			NUM
fis-1247	243	2			NUM
fis-1247	243	3			NOUN
fis-1247	243	4			NUM
fis-1247	243	5			NUM
fis-1247	243	6			NUM
fis-1247	243	7			NUM
fis-1247	243	8			NUM
fis-1247	243	9			NOUN
fis-1247	243	10	f	f	NOUN
fis-1247	243	11	f	f	X
fis-1247	243	12	u	u	NOUN
fis-1247	243	13	u	u	VERB
fis-1247	243	14	α	α	NOUN
fis-1247	243	15	ε	ε	PROPN
fis-1247	243	16	u	u	NOUN
fis-1247	243	17	ε	ε	PROPN
fis-1247	243	18	ε	ε	PROPN
fis-1247	243	19	(	(	PUNCT
fis-1247	243	20	51	51	NUM
fis-1247	243	21	)	)	PUNCT
fis-1247	243	22	where	where	SCONJ
fis-1247	243	23			NOUN
fis-1247	243	24			PROPN
fis-1247	243	25			ADJ
fis-1247	243	26			ADP
fis-1247	243	27			ADJ
fis-1247	243	28			NOUN
fis-1247	243	29			NOUN
fis-1247	243	30			PROPN
fis-1247	243	31	4	4	NUM
fis-1247	243	32	3	3	NUM
fis-1247	243	33	1	1	NUM
fis-1247	243	34	1	1	NUM
fis-1247	243	35	ppj	ppj	NOUN
fis-1247	243	36	ppj	ppj	NOUN
fis-1247	243	37	p	p	PROPN
fis-1247	243	38	t	t	PROPN
fis-1247	243	39	m	m	NOUN
fis-1247	243	40	gpj	gpj	NOUN
fis-1247	244	1	i	i	PRON
fis-1247	244	2	i	i	PRON
fis-1247	245	1	b	b	PROPN
fis-1247	245	2	b	b	NOUN
fis-1247	246	1	i	i	PRON
fis-1247	246	2	i	i	PRON
fis-1247	247	1	i	i	PRON
fis-1247	248	1	b	b	PROPN
fis-1247	248	2	b	b	X
fis-1247	249	1	k	k	PROPN
fis-1247	249	2	j	j	PROPN
fis-1247	249	3	m	m	PROPN
fis-1247	249	4	w	w	PROPN
fis-1247	249	5			NUM
fis-1247	249	6			NOUN
fis-1247	249	7			ADP
fis-1247	249	8			NOUN
fis-1247	249	9			PROPN
fis-1247	249	10			PROPN
fis-1247	249	11			NOUN
fis-1247	249	12			PROPN
fis-1247	249	13			NOUN
fis-1247	249	14			NOUN
fis-1247	249	15			PROPN
fis-1247	250	1			PRON
fis-1247	250	2	x	x	X
fis-1247	250	3	x	x	PUNCT
fis-1247	250	4	u	u	X
fis-1247	250	5	α	α	PROPN
fis-1247	250	6	φ	φ	PROPN
fis-1247	250	7	s	s	PROPN
fis-1247	250	8	φ	φ	PROPN
fis-1247	250	9	s	s	PROPN
fis-1247	250	10	k	k	PROPN
fis-1247	250	11	φ	φ	PROPN
fis-1247	250	12	s	s	PROPN
fis-1247	250	13	φ	φ	PROPN
fis-1247	250	14	s	s	PROPN
fis-1247	250	15	u	u	NOUN
fis-1247	250	16	(	(	PUNCT
fis-1247	250	17	52	52	NUM
fis-1247	250	18	)	)	PUNCT
fis-1247	250	19	from	from	ADP
fis-1247	250	20	eq	eq	ADP
fis-1247	250	21	.	.	PUNCT
fis-1247	251	1	(	(	PUNCT
fis-1247	251	2	47	47	NUM
fis-1247	251	3	)	)	PUNCT
fis-1247	251	4	11	11	NUM
fis-1247	251	5	12	12	NUM
fis-1247	252	1	p	p	NOUN
fis-1247	252	2	tm	tm	PROPN
fis-1247	252	3	m	m	PROPN
fis-1247	252	4	m	m	NOUN
fis-1247	252	5			NUM
fis-1247	252	6			NUM
fis-1247	252	7			SYM
fis-1247	252	8			NUM
fis-1247	252	9			NUM
fis-1247	252	10	fu	fu	PROPN
fis-1247	252	11	b	b	PROPN
fis-1247	252	12	b	b	X
fis-1247	252	13	q	q	X
fis-1247	252	14	ε	ε	PROPN
fis-1247	252	15	ε	ε	PROPN
fis-1247	252	16	(	(	PUNCT
fis-1247	252	17	53	53	NUM
fis-1247	252	18	)	)	PUNCT
fis-1247	252	19	which	which	PRON
fis-1247	252	20	,	,	PUNCT
fis-1247	252	21	substituted	substitute	VERB
fis-1247	252	22	in	in	ADP
fis-1247	252	23	(	(	PUNCT
fis-1247	252	24	51	51	NUM
fis-1247	252	25	)	)	PUNCT
fis-1247	252	26	,	,	PUNCT
fis-1247	252	27	furnishes	furnish	VERB
fis-1247	252	28	:	:	PUNCT
fis-1247	252	29			NOUN
fis-1247	252	30			SYM
fis-1247	252	31	1	1	NUM
fis-1247	252	32	11	11	NUM
fis-1247	252	33	12	12	NUM
fis-1247	253	1	p	p	NOUN
fis-1247	254	1	t	t	PROPN
fis-1247	254	2	m	m	VERB
fis-1247	254	3			PROPN
fis-1247	254	4			NUM
fis-1247	254	5			PROPN
fis-1247	254	6			NUM
fis-1247	254	7	f	f	NOUN
fis-1247	254	8	α	α	NOUN
fis-1247	255	1	i	i	NOUN
fis-1247	255	2	b	b	NOUN
fis-1247	255	3	α	α	NOUN
fis-1247	255	4	b	b	X
fis-1247	255	5	q	q	X
fis-1247	255	6	ε	ε	PROPN
fis-1247	255	7	(	(	PUNCT
fis-1247	255	8	54	54	NUM
fis-1247	255	9	)	)	PUNCT
fis-1247	255	10	the	the	DET
fis-1247	255	11	consistent	consistent	ADJ
fis-1247	255	12	macroscopic	macroscopic	ADJ
fis-1247	255	13	tangent	tangent	NOUN
fis-1247	255	14	stiffness	stiffness	NOUN
fis-1247	255	15	matrix	matrix	NOUN
fis-1247	255	16	is	be	AUX
fis-1247	255	17	therefore	therefore	ADV
fis-1247	255	18	written	write	VERB
fis-1247	255	19	as	as	ADP
fis-1247	255	20	the	the	DET
fis-1247	255	21	sum	sum	NOUN
fis-1247	255	22	of	of	ADP
fis-1247	255	23	an	an	DET
fis-1247	255	24	elastic	elastic	ADJ
fis-1247	255	25	and	and	CCONJ
fis-1247	255	26	a	a	DET
fis-1247	255	27	plastic	plastic	ADJ
fis-1247	255	28	part	part	NOUN
fis-1247	255	29	:	:	PUNCT
fis-1247	256	1	ct	ct	PROPN
fis-1247	256	2	ct	ct	NUM
fis-1247	256	3	ct	ct	NOUN
fis-1247	256	4	e	e	NOUN
fis-1247	256	5	p	p	ADV
fis-1247	256	6	e	e	VERB
fis-1247	256	7	e	e	X
fis-1247	256	8	e	e	X
fis-1247	256	9	(	(	PUNCT
fis-1247	256	10	55	55	NUM
fis-1247	256	11	)	)	PUNCT
fis-1247	256	12	with	with	ADP
fis-1247	256	13	22	22	NUM
fis-1247	256	14	1ct	1ct	ADJ
fis-1247	256	15	t	t	NOUN
fis-1247	257	1	e	e	NOUN
fis-1247	257	2	uc	uc	PROPN
fis-1247	257	3			PROPN
fis-1247	257	4			PROPN
fis-1247	257	5	e	e	X
fis-1247	257	6	qb	qb	PROPN
fis-1247	257	7	q	q	PROPN
fis-1247	257	8	(	(	PUNCT
fis-1247	257	9	56	56	NUM
fis-1247	257	10	)	)	PUNCT
fis-1247	257	11			NOUN
fis-1247	257	12			PUNCT
fis-1247	257	13	1	1	NUM
fis-1247	257	14	21	21	NUM
fis-1247	257	15	11	11	NUM
fis-1247	257	16	12	12	NUM
fis-1247	257	17	1ct	1ct	NOUN
fis-1247	257	18	t	t	PROPN
fis-1247	258	1	p	p	NOUN
fis-1247	258	2	uc	uc	PROPN
fis-1247	258	3			ADJ
fis-1247	258	4			PROPN
fis-1247	258	5			PROPN
fis-1247	258	6	e	e	PROPN
fis-1247	258	7	qb	qb	PROPN
fis-1247	258	8	α	α	NOUN
fis-1247	259	1	i	i	PROPN
fis-1247	259	2	b	b	PROPN
fis-1247	259	3	α	α	NOUN
fis-1247	259	4	b	b	X
fis-1247	259	5	q	q	X
fis-1247	259	6	(	(	PUNCT
fis-1247	259	7	57	57	NUM
fis-1247	259	8	)	)	PUNCT
fis-1247	259	9	localization	localization	NOUN
fis-1247	259	10	of	of	ADP
fis-1247	259	11	deformation	deformation	NOUN
fis-1247	259	12	at	at	ADP
fis-1247	259	13	a	a	DET
fis-1247	259	14	single	single	ADJ
fis-1247	259	15	macroscopic	macroscopic	ADJ
fis-1247	259	16	quadrature	quadrature	NOUN
fis-1247	259	17	point	point	NOUN
fis-1247	259	18	let	let	VERB
fis-1247	259	19	us	we	PRON
fis-1247	259	20	consider	consider	VERB
fis-1247	259	21	,	,	PUNCT
fis-1247	259	22	at	at	ADP
fis-1247	259	23	a	a	DET
fis-1247	259	24	macroscopic	macroscopic	ADJ
fis-1247	259	25	quadrature	quadrature	NOUN
fis-1247	259	26	point	point	NOUN
fis-1247	259	27	,	,	PUNCT
fis-1247	259	28	a	a	DET
fis-1247	259	29	discontinuity	discontinuity	NOUN
fis-1247	259	30	band	band	NOUN
fis-1247	259	31	characterized	characterize	VERB
fis-1247	259	32	by	by	ADP
fis-1247	259	33	an	an	DET
fis-1247	259	34	incipient	incipient	ADJ
fis-1247	259	35	loss	loss	NOUN
fis-1247	259	36	of	of	ADP
fis-1247	259	37	strain	strain	NOUN
fis-1247	259	38	continuity	continuity	NOUN
fis-1247	259	39	(	(	PUNCT
fis-1247	259	40	fig	fig	NOUN
fis-1247	259	41	.	.	PUNCT
fis-1247	260	1	6	6	NUM
fis-1247	260	2	)	)	PUNCT
fis-1247	260	3	.	.	PUNCT
fis-1247	261	1	figure	figure	VERB
fis-1247	261	2	6	6	NUM
fis-1247	261	3	:	:	PUNCT
fis-1247	261	4	body	body	NOUN
fis-1247	261	5	split	split	VERB
fis-1247	261	6	by	by	ADP
fis-1247	261	7	a	a	DET
fis-1247	261	8	potential	potential	ADJ
fis-1247	261	9	discontinuity	discontinuity	NOUN
fis-1247	261	10	band	band	NOUN
fis-1247	261	11	.	.	PUNCT
fis-1247	262	1	g.	g.	PROPN
fis-1247	262	2	gianbanco	gianbanco	PROPN
fis-1247	262	3	et	et	PROPN
fis-1247	262	4	alii	alii	PROPN
fis-1247	262	5	,	,	PUNCT
fis-1247	262	6	frattura	frattura	PROPN
fis-1247	262	7	ed	ed	PROPN
fis-1247	262	8	integrità	integrità	PROPN
fis-1247	262	9	strutturale	strutturale	PROPN
fis-1247	262	10	,	,	PUNCT
fis-1247	262	11	29	29	NUM
fis-1247	262	12	(	(	PUNCT
fis-1247	262	13	2014	2014	NUM
fis-1247	262	14	)	)	PUNCT
fis-1247	262	15	150	150	NUM
fis-1247	262	16	-	-	SYM
fis-1247	262	17	165	165	NUM
fis-1247	262	18	;	;	PUNCT
fis-1247	262	19	doi	doi	NOUN
fis-1247	262	20	:	:	PUNCT
fis-1247	262	21	10.3221	10.3221	NUM
fis-1247	262	22	/	/	SYM
fis-1247	262	23	igf	igf	PROPN
fis-1247	262	24	-	-	PUNCT
fis-1247	262	25	esis.29.14	esis.29.14	PROPN
fis-1247	262	26	160	160	NUM
fis-1247	262	27	the	the	DET
fis-1247	262	28	band	band	NOUN
fis-1247	262	29	splits	split	VERB
fis-1247	262	30	the	the	DET
fis-1247	262	31	volume	volume	NOUN
fis-1247	262	32	in	in	ADP
fis-1247	262	33	the	the	DET
fis-1247	262	34	two	two	NUM
fis-1247	262	35	subdomains	subdomain	NOUN
fis-1247	262	36	v	v	ADP
fis-1247	262	37			PUNCT
fis-1247	262	38	and	and	CCONJ
fis-1247	262	39	v	v	ADP
fis-1247	262	40			NOUN
fis-1247	262	41	and	and	CCONJ
fis-1247	262	42	is	be	AUX
fis-1247	262	43	identified	identify	VERB
fis-1247	262	44	by	by	ADP
fis-1247	262	45	the	the	DET
fis-1247	262	46	unit	unit	NOUN
fis-1247	262	47	vector	vector	NOUN
fis-1247	262	48	n	n	PROPN
fis-1247	262	49	oriented	orient	VERB
fis-1247	262	50	towards	towards	ADP
fis-1247	262	51	v	v	NOUN
fis-1247	262	52			PUNCT
fis-1247	262	53	.	.	PUNCT
fis-1247	263	1	the	the	DET
fis-1247	263	2	traction	traction	NOUN
fis-1247	263	3	continuity	continuity	NOUN
fis-1247	263	4	condition	condition	NOUN
fis-1247	263	5	imposes	impose	VERB
fis-1247	263	6	that	that	SCONJ
fis-1247	263	7	t	t	PROPN
fis-1247	263	8	t	t	PROPN
fis-1247	263	9	n	n	CCONJ
fis-1247	263	10	n	n	CCONJ
fis-1247	263	11	n	n	CCONJ
fis-1247	263	12	n	n	PROPN
fis-1247	263	13			ADV
fis-1247	263	14			PROPN
fis-1247	263	15			VERB
fis-1247	263	16			PROPN
fis-1247	263	17			PROPN
fis-1247	263	18	σ	σ	NOUN
fis-1247	263	19	σ	σ	PROPN
fis-1247	263	20	c	c	PROPN
fis-1247	263	21	σ	σ	PROPN
fis-1247	263	22	c	c	PROPN
fis-1247	263	23	σ	σ	NOUN
fis-1247	263	24			NOUN
fis-1247	263	25			NOUN
fis-1247	263	26			NOUN
fis-1247	263	27	(	(	PUNCT
fis-1247	263	28	58	58	NUM
fis-1247	263	29	)	)	PUNCT
fis-1247	263	30	where	where	SCONJ
fis-1247	263	31	σ	σ	NOUN
fis-1247	263	32	and	and	CCONJ
fis-1247	263	33	σ	σ	PROPN
fis-1247	263	34	denote	denote	VERB
fis-1247	263	35	the	the	DET
fis-1247	263	36	rates	rate	NOUN
fis-1247	263	37	of	of	ADP
fis-1247	263	38	stress	stress	ADJ
fis-1247	263	39	vectors	vector	NOUN
fis-1247	263	40	on	on	ADP
fis-1247	263	41	the	the	DET
fis-1247	263	42	negative	negative	ADJ
fis-1247	263	43	and	and	CCONJ
fis-1247	263	44	positive	positive	ADJ
fis-1247	263	45	sides	side	NOUN
fis-1247	263	46	of	of	ADP
fis-1247	263	47	the	the	DET
fis-1247	263	48	discontinuity	discontinuity	NOUN
fis-1247	263	49	band	band	NOUN
fis-1247	263	50	,	,	PUNCT
fis-1247	263	51	respectively	respectively	ADV
fis-1247	263	52	.	.	PUNCT
fis-1247	264	1	nc	nc	PROPN
fis-1247	264	2	is	be	AUX
fis-1247	264	3	the	the	DET
fis-1247	264	4	kinematical	kinematical	ADJ
fis-1247	264	5	compatibility	compatibility	NOUN
fis-1247	264	6	matrix	matrix	NOUN
fis-1247	264	7	particularized	particularize	VERB
fis-1247	264	8	for	for	ADP
fis-1247	264	9	the	the	DET
fis-1247	264	10	surface	surface	NOUN
fis-1247	264	11	having	have	VERB
fis-1247	264	12	unit	unit	NOUN
fis-1247	264	13	normal	normal	ADJ
fis-1247	264	14	vector	vector	NOUN
fis-1247	264	15	n	n	NOUN
fis-1247	264	16	.	.	PUNCT
fis-1247	265	1	a	a	DET
fis-1247	265	2	kinematical	kinematical	ADJ
fis-1247	265	3	condition	condition	NOUN
fis-1247	265	4	has	have	AUX
fis-1247	265	5	also	also	ADV
fis-1247	265	6	to	to	PART
fis-1247	265	7	be	be	AUX
fis-1247	265	8	imposed	impose	VERB
fis-1247	265	9	,	,	PUNCT
fis-1247	265	10	concerning	concern	VERB
fis-1247	265	11	displacement	displacement	ADJ
fis-1247	265	12	continuity	continuity	NOUN
fis-1247	265	13	.	.	PUNCT
fis-1247	266	1	this	this	DET
fis-1247	266	2	condition	condition	NOUN
fis-1247	266	3	leads	lead	VERB
fis-1247	266	4	to	to	ADP
fis-1247	266	5	the	the	DET
fis-1247	266	6	equation	equation	NOUN
fis-1247	266	7	n	n	PRON
fis-1247	266	8			ADV
fis-1247	266	9			PROPN
fis-1247	266	10	ε	ε	PROPN
fis-1247	266	11	ε	ε	PROPN
fis-1247	266	12	c	c	PROPN
fis-1247	266	13	c	c	X
fis-1247	266	14	m	m	NOUN
fis-1247	266	15			NOUN
fis-1247	266	16			NOUN
fis-1247	266	17	(	(	PUNCT
fis-1247	266	18	59	59	NUM
fis-1247	266	19	)	)	PUNCT
fis-1247	266	20	in	in	ADP
fis-1247	266	21	(	(	PUNCT
fis-1247	266	22	59	59	NUM
fis-1247	266	23	)	)	PUNCT
fis-1247	266	24	ε	ε	PROPN
fis-1247	266	25	and	and	CCONJ
fis-1247	266	26	ε	ε	PROPN
fis-1247	266	27	are	be	AUX
fis-1247	266	28	the	the	DET
fis-1247	266	29	rates	rate	NOUN
fis-1247	266	30	of	of	ADP
fis-1247	266	31	strain	strain	ADJ
fis-1247	266	32	vectors	vector	NOUN
fis-1247	266	33	on	on	ADP
fis-1247	266	34	the	the	DET
fis-1247	266	35	negative	negative	ADJ
fis-1247	266	36	and	and	CCONJ
fis-1247	266	37	positive	positive	ADJ
fis-1247	266	38	sides	side	NOUN
fis-1247	266	39	.	.	PUNCT
fis-1247	267	1	the	the	DET
fis-1247	267	2	following	follow	VERB
fis-1247	267	3	position	position	NOUN
fis-1247	267	4	has	have	AUX
fis-1247	267	5	also	also	ADV
fis-1247	267	6	been	be	AUX
fis-1247	267	7	used	use	VERB
fis-1247	267	8	:	:	PUNCT
fis-1247	267	9	c	c	PROPN
fis-1247	267	10	c	c	NOUN
fis-1247	267	11	m	m	VERB
fis-1247	267	12	(	(	PUNCT
fis-1247	267	13	60	60	NUM
fis-1247	267	14	)	)	PUNCT
fis-1247	267	15	with	with	ADP
fis-1247	267	16	c	c	NOUN
fis-1247	267	17	representing	represent	VERB
fis-1247	267	18	the	the	DET
fis-1247	267	19	jump	jump	NOUN
fis-1247	267	20	magnitude	magnitude	NOUN
fis-1247	267	21	,	,	PUNCT
fis-1247	267	22	while	while	SCONJ
fis-1247	267	23	m	m	NOUN
fis-1247	267	24	is	be	AUX
fis-1247	267	25	a	a	DET
fis-1247	267	26	unit	unit	NOUN
fis-1247	267	27	vector	vector	NOUN
fis-1247	267	28	called	call	VERB
fis-1247	267	29	polarization	polarization	NOUN
fis-1247	267	30	vector	vector	NOUN
fis-1247	267	31	.	.	PUNCT
fis-1247	268	1	the	the	DET
fis-1247	268	2	angle	angle	NOUN
fis-1247	268	3	between	between	ADP
fis-1247	268	4	m	m	PROPN
fis-1247	268	5	and	and	CCONJ
fis-1247	268	6	n	n	PRON
fis-1247	268	7	unit	unit	NOUN
fis-1247	268	8	vectors	vector	NOUN
fis-1247	268	9	characterizes	characterize	VERB
fis-1247	268	10	the	the	DET
fis-1247	268	11	failure	failure	NOUN
fis-1247	268	12	mode	mode	NOUN
fis-1247	268	13	:	:	PUNCT
fis-1247	268	14	when	when	SCONJ
fis-1247	268	15	m	m	NOUN
fis-1247	268	16	is	be	AUX
fis-1247	268	17	aligned	align	VERB
fis-1247	268	18	with	with	ADP
fis-1247	268	19	n	n	CCONJ
fis-1247	268	20	a	a	DET
fis-1247	268	21	splitting	splitting	NOUN
fis-1247	268	22	mode	mode	NOUN
fis-1247	268	23	i	i	PRON
fis-1247	268	24	process	process	NOUN
fis-1247	268	25	is	be	AUX
fis-1247	268	26	present	present	ADJ
fis-1247	268	27	;	;	PUNCT
fis-1247	268	28	when	when	SCONJ
fis-1247	268	29	m	m	NOUN
fis-1247	268	30	is	be	AUX
fis-1247	268	31	perpendicular	perpendicular	ADJ
fis-1247	268	32	to	to	ADP
fis-1247	268	33	n	n	PROPN
fis-1247	268	34	a	a	DET
fis-1247	268	35	shear	shear	NOUN
fis-1247	268	36	mode	mode	PROPN
fis-1247	268	37	ii	ii	PROPN
fis-1247	268	38	is	be	AUX
fis-1247	268	39	present	present	ADJ
fis-1247	268	40	.	.	PUNCT
fis-1247	269	1	in	in	ADP
fis-1247	269	2	general	general	ADJ
fis-1247	269	3	,	,	PUNCT
fis-1247	269	4	v	v	ADP
fis-1247	269	5			PUNCT
fis-1247	269	6	and	and	CCONJ
fis-1247	269	7	v	v	ADP
fis-1247	269	8			PROPN
fis-1247	269	9	can	can	AUX
fis-1247	269	10	be	be	AUX
fis-1247	269	11	constituted	constitute	VERB
fis-1247	269	12	by	by	ADP
fis-1247	269	13	different	different	ADJ
fis-1247	269	14	materials	material	NOUN
fis-1247	269	15	and	and	CCONJ
fis-1247	269	16	the	the	DET
fis-1247	269	17	following	follow	VERB
fis-1247	269	18	constitutive	constitutive	ADJ
fis-1247	269	19	relations	relation	NOUN
fis-1247	269	20	can	can	AUX
fis-1247	269	21	be	be	AUX
fis-1247	269	22	written	write	VERB
fis-1247	269	23	:	:	PUNCT
fis-1247	270	1	ct	ct	PROPN
fis-1247	270	2			PUNCT
fis-1247	270	3	σ	σ	NOUN
fis-1247	270	4	e	e	NOUN
fis-1247	270	5	ε	ε	VERB
fis-1247	270	6			NOUN
fis-1247	270	7	(	(	PUNCT
fis-1247	270	8	61	61	NUM
fis-1247	270	9	)	)	PUNCT
fis-1247	270	10	ct	ct	NOUN
fis-1247	270	11			NOUN
fis-1247	270	12	σ	σ	ADJ
fis-1247	270	13	e	e	NOUN
fis-1247	270	14	ε	ε	VERB
fis-1247	270	15			NOUN
fis-1247	270	16	(	(	PUNCT
fis-1247	270	17	62	62	NUM
fis-1247	270	18	)	)	PUNCT
fis-1247	270	19	with	with	ADP
fis-1247	270	20	ct	ct	PROPN
fis-1247	270	21	e	e	NOUN
fis-1247	270	22	and	and	CCONJ
fis-1247	270	23	ct	ct	PRON
fis-1247	270	24	e	e	VERB
fis-1247	270	25	the	the	DET
fis-1247	270	26	tangent	tangent	NOUN
fis-1247	270	27	stiffness	stiffness	ADJ
fis-1247	270	28	matrices	matrix	NOUN
fis-1247	270	29	in	in	ADP
fis-1247	270	30	v	v	ADP
fis-1247	270	31			NOUN
fis-1247	270	32	and	and	CCONJ
fis-1247	270	33	v	v	ADP
fis-1247	270	34			PUNCT
fis-1247	270	35	.	.	PUNCT
fis-1247	271	1	substituting	substitute	VERB
fis-1247	271	2	the	the	DET
fis-1247	271	3	expressions	expression	NOUN
fis-1247	271	4	(	(	PUNCT
fis-1247	271	5	61	61	NUM
fis-1247	271	6	)	)	PUNCT
fis-1247	271	7	and	and	CCONJ
fis-1247	271	8	(	(	PUNCT
fis-1247	271	9	62	62	NUM
fis-1247	271	10	)	)	PUNCT
fis-1247	271	11	on	on	ADP
fis-1247	271	12	(	(	PUNCT
fis-1247	271	13	58	58	NUM
fis-1247	271	14	)	)	PUNCT
fis-1247	271	15	,	,	PUNCT
fis-1247	271	16	the	the	DET
fis-1247	271	17	following	follow	VERB
fis-1247	271	18	equation	equation	NOUN
fis-1247	271	19	is	be	AUX
fis-1247	271	20	obtained	obtain	VERB
fis-1247	271	21	:	:	PUNCT
fis-1247	272	1	t	t	AUX
fis-1247	272	2	ct	ct	PROPN
fis-1247	272	3	t	t	PROPN
fis-1247	272	4	ct	ct	PROPN
fis-1247	272	5	n	n	PROPN
fis-1247	272	6	n	n	PROPN
fis-1247	272	7			ADV
fis-1247	272	8			PUNCT
fis-1247	272	9			X
fis-1247	272	10	c	c	NOUN
fis-1247	272	11	e	e	NOUN
fis-1247	272	12	ε	ε	PROPN
fis-1247	272	13	c	c	PROPN
fis-1247	272	14	e	e	NOUN
fis-1247	272	15	ε	ε	VERB
fis-1247	272	16			NOUN
fis-1247	272	17	(	(	PUNCT
fis-1247	272	18	63	63	NUM
fis-1247	272	19	)	)	PUNCT
fis-1247	272	20	if	if	SCONJ
fis-1247	272	21	eq	eq	ADJ
fis-1247	272	22	.	.	PUNCT
fis-1247	273	1	(	(	PUNCT
fis-1247	273	2	59	59	NUM
fis-1247	273	3	)	)	PUNCT
fis-1247	273	4	is	be	AUX
fis-1247	273	5	also	also	ADV
fis-1247	273	6	introduced	introduce	VERB
fis-1247	273	7	we	we	PRON
fis-1247	273	8	finally	finally	ADV
fis-1247	273	9	derive	derive	VERB
fis-1247	273	10	:	:	PUNCT
fis-1247	273	11			NOUN
fis-1247	273	12	t	t	INTJ
fis-1247	273	13	ct	ct	INTJ
fis-1247	274	1	ct	ct	NUM
fis-1247	274	2	t	t	PROPN
fis-1247	274	3	ct	ct	PROPN
fis-1247	274	4	n	n	PROPN
fis-1247	274	5	n	n	CCONJ
fis-1247	274	6	n	n	ADV
fis-1247	274	7			NOUN
fis-1247	274	8			PUNCT
fis-1247	274	9			PROPN
fis-1247	274	10			PROPN
fis-1247	274	11	c	c	PROPN
fis-1247	274	12	e	e	NOUN
fis-1247	274	13	e	e	X
fis-1247	274	14	ε	ε	X
fis-1247	274	15	c	c	NOUN
fis-1247	274	16	e	e	X
fis-1247	274	17	c	c	PROPN
fis-1247	274	18	m	m	VERB
fis-1247	274	19	c	c	NOUN
fis-1247	274	20			NOUN
fis-1247	274	21	(	(	PUNCT
fis-1247	274	22	64	64	NUM
fis-1247	274	23	)	)	PUNCT
fis-1247	274	24	in	in	ADP
fis-1247	274	25	the	the	DET
fis-1247	274	26	case	case	NOUN
fis-1247	274	27	of	of	ADP
fis-1247	274	28	continuous	continuous	ADJ
fis-1247	274	29	bifurcation	bifurcation	NOUN
fis-1247	274	30	(	(	PUNCT
fis-1247	274	31	when	when	SCONJ
fis-1247	274	32	the	the	DET
fis-1247	274	33	tangent	tangent	NOUN
fis-1247	274	34	stiffness	stiffness	ADJ
fis-1247	274	35	matrices	matrix	NOUN
fis-1247	274	36	in	in	ADP
fis-1247	274	37	v	v	ADP
fis-1247	274	38			NOUN
fis-1247	274	39	and	and	CCONJ
fis-1247	274	40	v	v	ADP
fis-1247	274	41			NUM
fis-1247	274	42	are	be	AUX
fis-1247	274	43	the	the	DET
fis-1247	274	44	same	same	ADJ
fis-1247	274	45	:	:	PUNCT
fis-1247	274	46	ct	ct	PROPN
fis-1247	274	47	ct	ct	PROPN
fis-1247	274	48	ct	ct	NOUN
fis-1247	274	49			PROPN
fis-1247	274	50	e	e	NUM
fis-1247	274	51	e	e	X
fis-1247	274	52	e	e	PROPN
fis-1247	274	53	)	)	PUNCT
fis-1247	274	54	,	,	PUNCT
fis-1247	274	55	the	the	DET
fis-1247	274	56	condition	condition	NOUN
fis-1247	274	57	of	of	ADP
fis-1247	274	58	incipient	incipient	ADJ
fis-1247	274	59	macroscopic	macroscopic	ADJ
fis-1247	274	60	localization	localization	NOUN
fis-1247	274	61	occurs	occur	VERB
fis-1247	274	62	if	if	SCONJ
fis-1247	274	63	it	it	PRON
fis-1247	274	64	happens	happen	VERB
fis-1247	274	65	that	that	SCONJ
fis-1247	274	66	t	t	PROPN
fis-1247	274	67	ct	ct	NUM
fis-1247	274	68	n	n	PROPN
fis-1247	274	69	n	n	CCONJ
fis-1247	275	1			NUM
fis-1247	275	2	c	c	PROPN
fis-1247	275	3	e	e	X
fis-1247	275	4	c	c	NOUN
fis-1247	275	5	m	m	VERB
fis-1247	275	6	l	l	NOUN
fis-1247	275	7	m	m	VERB
fis-1247	275	8	0	0	NUM
fis-1247	275	9	(	(	PUNCT
fis-1247	275	10	65	65	NUM
fis-1247	275	11	)	)	PUNCT
fis-1247	275	12	in	in	ADP
fis-1247	275	13	the	the	DET
fis-1247	275	14	last	last	ADJ
fis-1247	275	15	condition	condition	NOUN
fis-1247	275	16	t	t	PROPN
fis-1247	275	17	ct	ct	NUM
fis-1247	275	18	n	n	NOUN
fis-1247	275	19	nl	nl	NOUN
fis-1247	275	20	c	c	NOUN
fis-1247	275	21	e	e	X
fis-1247	275	22	c	c	X
fis-1247	275	23	(	(	PUNCT
fis-1247	275	24	66	66	NUM
fis-1247	275	25	)	)	PUNCT
fis-1247	275	26	is	be	AUX
fis-1247	275	27	called	call	VERB
fis-1247	275	28	localization	localization	NOUN
fis-1247	275	29	matrix	matrix	NOUN
fis-1247	275	30	(	(	PUNCT
fis-1247	275	31	or	or	CCONJ
fis-1247	275	32	acoustic	acoustic	ADJ
fis-1247	275	33	matrix	matrix	NOUN
fis-1247	275	34	)	)	PUNCT
fis-1247	275	35	.	.	PUNCT
fis-1247	276	1	since	since	SCONJ
fis-1247	276	2	m	m	PROPN
fis-1247	276	3	is	be	AUX
fis-1247	276	4	a	a	DET
fis-1247	276	5	unit	unit	NOUN
fis-1247	276	6	vector	vector	NOUN
fis-1247	276	7	,	,	PUNCT
fis-1247	276	8	the	the	DET
fis-1247	276	9	condition	condition	NOUN
fis-1247	276	10	of	of	ADP
fis-1247	276	11	incipient	incipient	ADJ
fis-1247	276	12	localization	localization	NOUN
fis-1247	276	13	can	can	AUX
fis-1247	276	14	be	be	AUX
fis-1247	276	15	written	write	VERB
fis-1247	276	16	as	as	ADP
fis-1247	276	17	det	det	PROPN
fis-1247	276	18	0l	0l	PROPN
fis-1247	276	19	(	(	PUNCT
fis-1247	276	20	67	67	NUM
fis-1247	276	21	)	)	PUNCT
fis-1247	276	22	besides	besides	SCONJ
fis-1247	276	23	,	,	PUNCT
fis-1247	276	24	localization	localization	NOUN
fis-1247	276	25	occurs	occur	VERB
fis-1247	276	26	when	when	SCONJ
fis-1247	276	27	the	the	DET
fis-1247	276	28	stiffness	stiffness	ADJ
fis-1247	276	29	matrix	matrix	NOUN
fis-1247	276	30	loses	lose	VERB
fis-1247	276	31	its	its	PRON
fis-1247	276	32	positive	positive	ADJ
fis-1247	276	33	definiteness	definiteness	NOUN
fis-1247	276	34	.	.	PUNCT
fis-1247	277	1	this	this	PRON
fis-1247	277	2	means	mean	VERB
fis-1247	277	3	that	that	SCONJ
fis-1247	277	4	the	the	DET
fis-1247	277	5	set	set	NOUN
fis-1247	277	6	of	of	ADP
fis-1247	277	7	orientations	orientation	NOUN
fis-1247	277	8	n	n	CCONJ
fis-1247	277	9	for	for	ADP
fis-1247	277	10	which	which	DET
fis-1247	277	11	localization	localization	NOUN
fis-1247	277	12	may	may	AUX
fis-1247	277	13	appear	appear	VERB
fis-1247	277	14	is	be	AUX
fis-1247	277	15	determined	determine	VERB
fis-1247	277	16	by	by	ADP
fis-1247	277	17	the	the	DET
fis-1247	277	18	inequality	inequality	NOUN
fis-1247	277	19	[	[	X
fis-1247	277	20	16	16	NUM
fis-1247	277	21	]	]	X
fis-1247	277	22	:	:	PUNCT
fis-1247	277	23	det	det	PROPN
fis-1247	277	24	0l	0l	PROPN
fis-1247	277	25	(	(	PUNCT
fis-1247	277	26	68	68	NUM
fis-1247	277	27	)	)	PUNCT
fis-1247	277	28	in	in	ADP
fis-1247	277	29	a	a	DET
fis-1247	277	30	localization	localization	NOUN
fis-1247	277	31	procedure	procedure	NOUN
fis-1247	277	32	n	n	PART
fis-1247	277	33	is	be	AUX
fis-1247	277	34	not	not	PART
fis-1247	277	35	known	know	VERB
fis-1247	277	36	in	in	ADP
fis-1247	277	37	advance	advance	NOUN
fis-1247	277	38	.	.	PUNCT
fis-1247	278	1	therefore	therefore	ADV
fis-1247	278	2	,	,	PUNCT
fis-1247	278	3	scanning	scan	VERB
fis-1247	278	4	for	for	ADP
fis-1247	278	5	all	all	DET
fis-1247	278	6	possible	possible	ADJ
fis-1247	278	7	unit	unit	NOUN
fis-1247	278	8	vectors	vector	NOUN
fis-1247	278	9	n	n	CCONJ
fis-1247	278	10	,	,	PUNCT
fis-1247	278	11	the	the	DET
fis-1247	278	12	discontinuous	discontinuous	ADJ
fis-1247	278	13	band	band	NOUN
fis-1247	278	14	is	be	AUX
fis-1247	278	15	chosen	choose	VERB
fis-1247	278	16	looking	look	VERB
fis-1247	278	17	for	for	ADP
fis-1247	278	18	all	all	DET
fis-1247	278	19	n	n	PRON
fis-1247	278	20	directions	direction	NOUN
fis-1247	278	21	that	that	PRON
fis-1247	278	22	comply	comply	VERB
fis-1247	278	23	with	with	ADP
fis-1247	278	24	(	(	PUNCT
fis-1247	278	25	68	68	NUM
fis-1247	278	26	)	)	PUNCT
fis-1247	278	27	and	and	CCONJ
fis-1247	278	28	whose	whose	DET
fis-1247	278	29	minimum	minimum	NOUN
fis-1247	278	30	eigenvalue	eigenvalue	NOUN
fis-1247	278	31	of	of	ADP
fis-1247	278	32	l	l	NOUN
fis-1247	278	33	matrix	matrix	NOUN
fis-1247	278	34	is	be	AUX
fis-1247	278	35	the	the	DET
fis-1247	278	36	absolute	absolute	ADJ
fis-1247	278	37	minimum	minimum	ADJ
fis-1247	278	38	one	one	NUM
fis-1247	278	39	.	.	PUNCT
fis-1247	279	1	the	the	DET
fis-1247	279	2	corresponding	correspond	VERB
fis-1247	279	3	eigenvector	eigenvector	NOUN
fis-1247	279	4	finally	finally	ADV
fis-1247	279	5	identifies	identify	VERB
fis-1247	279	6	the	the	DET
fis-1247	279	7	polarization	polarization	NOUN
fis-1247	279	8	vector	vector	NOUN
fis-1247	279	9	.	.	PUNCT
fis-1247	280	1	g.	g.	PROPN
fis-1247	280	2	gianbanco	gianbanco	PROPN
fis-1247	280	3	et	et	PROPN
fis-1247	280	4	alii	alii	PROPN
fis-1247	280	5	,	,	PUNCT
fis-1247	280	6	frattura	frattura	PROPN
fis-1247	280	7	ed	ed	PROPN
fis-1247	280	8	integrità	integrità	PROPN
fis-1247	280	9	strutturale	strutturale	PROPN
fis-1247	280	10	,	,	PUNCT
fis-1247	280	11	29	29	NUM
fis-1247	280	12	(	(	PUNCT
fis-1247	280	13	2014	2014	NUM
fis-1247	280	14	)	)	PUNCT
fis-1247	280	15	150	150	NUM
fis-1247	280	16	-	-	SYM
fis-1247	280	17	166	166	NUM
fis-1247	280	18	;	;	PUNCT
fis-1247	280	19	doi	doi	NOUN
fis-1247	280	20	:	:	PUNCT
fis-1247	280	21	10.3221	10.3221	NUM
fis-1247	280	22	/	/	SYM
fis-1247	280	23	igf	igf	PROPN
fis-1247	280	24	-	-	PUNCT
fis-1247	280	25	esis.29.14	esis.29.14	PROPN
fis-1247	280	26	161	161	NUM
fis-1247	280	27	numerical	numerical	ADJ
fis-1247	280	28	examples	example	NOUN
fis-1247	280	29	o	o	NOUN
fis-1247	280	30	show	show	VERB
fis-1247	280	31	the	the	DET
fis-1247	280	32	effectiveness	effectiveness	NOUN
fis-1247	280	33	of	of	ADP
fis-1247	280	34	the	the	DET
fis-1247	280	35	meshless	meshless	ADJ
fis-1247	280	36	procedure	procedure	NOUN
fis-1247	280	37	for	for	ADP
fis-1247	280	38	bvp	bvp	NOUN
fis-1247	280	39	solution	solution	NOUN
fis-1247	280	40	and	and	CCONJ
fis-1247	280	41	of	of	ADP
fis-1247	280	42	the	the	DET
fis-1247	280	43	localization	localization	NOUN
fis-1247	280	44	technique	technique	NOUN
fis-1247	280	45	,	,	PUNCT
fis-1247	280	46	the	the	DET
fis-1247	280	47	response	response	NOUN
fis-1247	280	48	of	of	ADP
fis-1247	280	49	a	a	DET
fis-1247	280	50	uc	uc	NOUN
fis-1247	280	51	under	under	ADP
fis-1247	280	52	the	the	DET
fis-1247	280	53	two	two	NUM
fis-1247	280	54	displacement	displacement	ADJ
fis-1247	280	55	conditions	condition	NOUN
fis-1247	280	56	showed	show	VERB
fis-1247	280	57	in	in	ADP
fis-1247	280	58	fig	fig	NOUN
fis-1247	280	59	.	.	PUNCT
fis-1247	281	1	7	7	NUM
fis-1247	281	2	is	be	AUX
fis-1247	281	3	analyzed	analyze	VERB
fis-1247	281	4	.	.	PUNCT
fis-1247	282	1	figure	figure	VERB
fis-1247	282	2	7	7	NUM
fis-1247	282	3	:	:	PUNCT
fis-1247	282	4	boundary	boundary	ADJ
fis-1247	282	5	conditions	condition	NOUN
fis-1247	282	6	imposed	impose	VERB
fis-1247	282	7	to	to	ADP
fis-1247	282	8	the	the	DET
fis-1247	282	9	uc	uc	NOUN
fis-1247	282	10	in	in	ADP
fis-1247	282	11	the	the	DET
fis-1247	282	12	three	three	NUM
fis-1247	282	13	examples	example	NOUN
fis-1247	282	14	analyzed	analyze	VERB
fis-1247	282	15	.	.	PUNCT
fis-1247	283	1	the	the	DET
fis-1247	283	2	uc	uc	PROPN
fis-1247	283	3	is	be	AUX
fis-1247	283	4	composed	compose	VERB
fis-1247	283	5	by	by	ADP
fis-1247	283	6	a	a	DET
fis-1247	283	7	brick	brick	NOUN
fis-1247	283	8	having	have	VERB
fis-1247	283	9	length	length	NOUN
fis-1247	283	10	equal	equal	ADJ
fis-1247	283	11	to	to	ADP
fis-1247	283	12	204	204	NUM
fis-1247	283	13	mm	mm	NOUN
fis-1247	283	14	and	and	CCONJ
fis-1247	283	15	height	height	NOUN
fis-1247	283	16	equal	equal	ADJ
fis-1247	283	17	to	to	ADP
fis-1247	283	18	50	50	NUM
fis-1247	283	19	mm	mm	NOUN
fis-1247	283	20	,	,	PUNCT
fis-1247	283	21	surrounded	surround	VERB
fis-1247	283	22	by	by	ADP
fis-1247	283	23	a	a	DET
fis-1247	283	24	mortar	mortar	NOUN
fis-1247	283	25	layer	layer	NOUN
fis-1247	283	26	of	of	ADP
fis-1247	283	27	thickness	thickness	NOUN
fis-1247	283	28	equal	equal	ADJ
fis-1247	283	29	to	to	ADP
fis-1247	283	30	5	5	NUM
fis-1247	283	31	mm	mm	NOUN
fis-1247	283	32	.	.	PUNCT
fis-1247	284	1	the	the	DET
fis-1247	284	2	mechanical	mechanical	ADJ
fis-1247	284	3	parameters	parameter	NOUN
fis-1247	284	4	adopted	adopt	VERB
fis-1247	284	5	for	for	ADP
fis-1247	284	6	the	the	DET
fis-1247	284	7	two	two	NUM
fis-1247	284	8	materials	material	NOUN
fis-1247	284	9	are	be	AUX
fis-1247	284	10	reported	report	VERB
fis-1247	284	11	in	in	ADP
fis-1247	284	12	tab	tab	NOUN
fis-1247	284	13	.	.	PUNCT
fis-1247	285	1	1	1	NUM
fis-1247	285	2	,	,	PUNCT
fis-1247	285	3	while	while	SCONJ
fis-1247	285	4	interfaces	interface	NOUN
fis-1247	285	5	’	'	PUNCT
fis-1247	285	6	parameters	parameter	NOUN
fis-1247	285	7	are	be	AUX
fis-1247	285	8	reported	report	VERB
fis-1247	285	9	in	in	ADP
fis-1247	285	10	tab	tab	NOUN
fis-1247	285	11	.	.	PUNCT
fis-1247	286	1	2	2	X
fis-1247	286	2	.	.	X
fis-1247	286	3	the	the	DET
fis-1247	286	4	uc	uc	PROPN
fis-1247	286	5	is	be	AUX
fis-1247	286	6	constrained	constrain	VERB
fis-1247	286	7	for	for	ADP
fis-1247	286	8	its	its	PRON
fis-1247	286	9	entire	entire	ADJ
fis-1247	286	10	boundary	boundary	ADJ
fis-1247	286	11	surface	surface	NOUN
fis-1247	286	12	.	.	PUNCT
fis-1247	287	1	the	the	DET
fis-1247	287	2	tests	test	NOUN
fis-1247	287	3	are	be	AUX
fis-1247	287	4	run	run	VERB
fis-1247	287	5	under	under	ADP
fis-1247	287	6	displacement	displacement	ADJ
fis-1247	287	7	control	control	NOUN
fis-1247	287	8	.	.	PUNCT
fis-1247	288	1	the	the	DET
fis-1247	288	2	elastic	elastic	ADJ
fis-1247	288	3	tangent	tangent	NOUN
fis-1247	288	4	stiffness	stiffness	NOUN
fis-1247	288	5	matrix	matrix	NOUN
fis-1247	288	6	is	be	AUX
fis-1247	288	7	:	:	PUNCT
fis-1247	288	8	3	3	NUM
fis-1247	288	9	10.2	10.2	NUM
fis-1247	288	10	0.31	0.31	NUM
fis-1247	288	11	0	0	NUM
fis-1247	288	12	0.31	0.31	NUM
fis-1247	288	13	3.39	3.39	NUM
fis-1247	288	14	0	0	NUM
fis-1247	288	15	10	10	NUM
fis-1247	288	16	mpa	mpa	NOUN
fis-1247	288	17	0	0	NUM
fis-1247	288	18	0	0	NUM
fis-1247	288	19	1.55	1.55	NUM
fis-1247	288	20	ct	ct	NOUN
fis-1247	288	21	e	e	X
fis-1247	288	22			PROPN
fis-1247	288	23			NOUN
fis-1247	288	24			NOUN
fis-1247	289	1			X
fis-1247	289	2			NOUN
fis-1247	289	3			ADJ
fis-1247	289	4			NOUN
fis-1247	289	5			PROPN
fis-1247	289	6			PROPN
fis-1247	289	7	e	e	PROPN
fis-1247	289	8			PROPN
fis-1247	289	9	mpae	mpae	NOUN
fis-1247	289	10			ADJ
fis-1247	289	11	block	block	NOUN
fis-1247	289	12	16700	16700	NUM
fis-1247	289	13	0.15	0.15	NUM
fis-1247	289	14	mortar	mortar	NOUN
fis-1247	289	15	820	820	NUM
fis-1247	289	16	0.14	0.14	NUM
fis-1247	289	17	table	table	NOUN
fis-1247	289	18	1	1	NUM
fis-1247	289	19	:	:	PUNCT
fis-1247	289	20	components	component	VERB
fis-1247	289	21	mechanical	mechanical	ADJ
fis-1247	289	22	properties	property	NOUN
fis-1247	289	23	.	.	PUNCT
fis-1247	290	1			ADJ
fis-1247	290	2	0	0	NOUN
fis-1247	290	3	mpac	mpac	VERB
fis-1247	290	4			ADJ
fis-1247	290	5	0	0	NOUN
fis-1247	290	6	mpa	mpa	ADP
fis-1247	290	7	ph	ph	PROPN
fis-1247	290	8			PROPN
fis-1247	290	9			PROPN
fis-1247	290	10			PROPN
fis-1247	290	11			PROPN
fis-1247	290	12			PROPN
fis-1247	290	13			NOUN
fis-1247	290	14	0.35	0.35	NUM
fis-1247	290	15	0.25	0.25	NUM
fis-1247	290	16	5	5	NUM
fis-1247	290	17	37	37	NUM
fis-1247	290	18	2	2	NUM
fis-1247	290	19	3	3	NUM
fis-1247	290	20	table	table	NOUN
fis-1247	290	21	2	2	NUM
fis-1247	290	22	:	:	PUNCT
fis-1247	290	23	interface	interface	NOUN
fis-1247	290	24	parameters	parameter	NOUN
fis-1247	290	25	.	.	PUNCT
fis-1247	291	1	example	example	NOUN
fis-1247	292	1	1	1	NUM
fis-1247	292	2	.	.	PUNCT
fis-1247	292	3	horizontal	horizontal	ADJ
fis-1247	292	4	strain	strain	NOUN
fis-1247	292	5	applied	apply	VERB
fis-1247	292	6	in	in	ADP
fis-1247	292	7	this	this	DET
fis-1247	292	8	case	case	NOUN
fis-1247	292	9	the	the	DET
fis-1247	292	10	external	external	ADJ
fis-1247	292	11	boundary	boundary	ADJ
fis-1247	292	12	nodes	node	NOUN
fis-1247	292	13	on	on	ADP
fis-1247	292	14	2	2	NUM
fis-1247	292	15	and	and	CCONJ
fis-1247	292	16	4	4	NOUN
fis-1247	292	17	interfaces	interface	NOUN
fis-1247	292	18	are	be	AUX
fis-1247	292	19	forced	force	VERB
fis-1247	292	20	to	to	PART
fis-1247	292	21	move	move	VERB
fis-1247	292	22	along	along	ADP
fis-1247	292	23	the	the	DET
fis-1247	292	24	1x	1x	NUM
fis-1247	292	25	direction	direction	NOUN
fis-1247	292	26	.	.	PUNCT
fis-1247	293	1	as	as	ADP
fis-1247	293	2	a	a	DET
fis-1247	293	3	consequence	consequence	NOUN
fis-1247	293	4	,	,	PUNCT
fis-1247	293	5	the	the	DET
fis-1247	293	6	inner	inner	ADJ
fis-1247	293	7	block	block	NOUN
fis-1247	293	8	is	be	AUX
fis-1247	293	9	stretched	stretch	VERB
fis-1247	293	10	and	and	CCONJ
fis-1247	293	11	results	result	NOUN
fis-1247	293	12	in	in	ADP
fis-1247	293	13	a	a	DET
fis-1247	293	14	biaxial	biaxial	ADJ
fis-1247	293	15	tensile	tensile	NOUN
fis-1247	293	16	stress	stress	NOUN
fis-1247	293	17	condition	condition	NOUN
fis-1247	293	18	.	.	PUNCT
fis-1247	294	1	the	the	DET
fis-1247	294	2	uc	uc	PROPN
fis-1247	294	3	average	average	ADJ
fis-1247	294	4	stress	stress	NOUN
fis-1247	294	5	versus	versus	ADP
fis-1247	294	6	average	average	ADJ
fis-1247	294	7	strain	strain	NOUN
fis-1247	294	8	diagram	diagram	NOUN
fis-1247	294	9	is	be	AUX
fis-1247	294	10	reported	report	VERB
fis-1247	294	11	in	in	ADP
fis-1247	294	12	fig	fig	NOUN
fis-1247	294	13	.	.	PUNCT
fis-1247	295	1	8	8	NUM
fis-1247	295	2	.	.	PUNCT
fis-1247	296	1	different	different	ADJ
fis-1247	296	2	stages	stage	NOUN
fis-1247	296	3	can	can	AUX
fis-1247	296	4	be	be	AUX
fis-1247	296	5	distinguished	distinguish	VERB
fis-1247	296	6	.	.	PUNCT
fis-1247	297	1	at	at	ADP
fis-1247	297	2	the	the	DET
fis-1247	297	3	beginning	beginning	NOUN
fis-1247	297	4	the	the	DET
fis-1247	297	5	response	response	NOUN
fis-1247	297	6	is	be	AUX
fis-1247	297	7	elastic	elastic	ADJ
fis-1247	297	8	.	.	PUNCT
fis-1247	298	1	the	the	DET
fis-1247	298	2	slope	slope	NOUN
fis-1247	298	3	of	of	ADP
fis-1247	298	4	the	the	DET
fis-1247	298	5	curve	curve	NOUN
fis-1247	298	6	changes	change	NOUN
fis-1247	298	7	when	when	SCONJ
fis-1247	298	8	plasticity	plasticity	NOUN
fis-1247	298	9	starts	start	VERB
fis-1247	298	10	to	to	PART
fis-1247	298	11	appear	appear	VERB
fis-1247	298	12	on	on	ADP
fis-1247	298	13	vertical	vertical	ADJ
fis-1247	298	14	interfaces	interface	NOUN
fis-1247	298	15	,	,	PUNCT
fis-1247	298	16	at	at	ADP
fis-1247	298	17	around	around	ADV
fis-1247	298	18	0.8	0.8	NUM
fis-1247	298	19	mpa	mpa	NOUN
fis-1247	298	20	of	of	ADP
fis-1247	298	21	stress	stress	NOUN
fis-1247	298	22	level	level	NOUN
fis-1247	298	23	.	.	PUNCT
fis-1247	299	1	at	at	ADP
fis-1247	299	2	the	the	DET
fis-1247	299	3	end	end	NOUN
fis-1247	299	4	of	of	ADP
fis-1247	299	5	this	this	DET
fis-1247	299	6	first	first	ADJ
fis-1247	299	7	nonlinear	nonlinear	ADJ
fis-1247	299	8	branch	branch	NOUN
fis-1247	299	9	the	the	DET
fis-1247	299	10	plasticity	plasticity	NOUN
fis-1247	299	11	level	level	NOUN
fis-1247	299	12	at	at	ADP
fis-1247	299	13	each	each	DET
fis-1247	299	14	gauss	gauss	NOUN
fis-1247	299	15	point	point	NOUN
fis-1247	299	16	of	of	ADP
fis-1247	299	17	the	the	DET
fis-1247	299	18	interfaces	interface	NOUN
fis-1247	299	19	is	be	AUX
fis-1247	299	20	showed	show	VERB
fis-1247	299	21	by	by	ADP
fis-1247	299	22	histograms	histogram	NOUN
fis-1247	299	23	of	of	ADP
fis-1247	299	24	fig	fig	NOUN
fis-1247	299	25	.	.	PUNCT
fis-1247	300	1	9a	9a	NOUN
fis-1247	300	2	.	.	PUNCT
fis-1247	301	1	an	an	DET
fis-1247	301	2	histogram	histogram	NOUN
fis-1247	301	3	ranges	range	VERB
fis-1247	301	4	from	from	ADP
fis-1247	301	5	0	0	NUM
fis-1247	301	6	(	(	PUNCT
fis-1247	301	7	absence	absence	NOUN
fis-1247	301	8	of	of	ADP
fis-1247	301	9	plasticity	plasticity	NOUN
fis-1247	301	10	,	,	PUNCT
fis-1247	301	11	white	white	ADJ
fis-1247	301	12	colour	colour	NOUN
fis-1247	301	13	)	)	PUNCT
fis-1247	301	14	to	to	ADP
fis-1247	301	15	1	1	NUM
fis-1247	301	16	(	(	PUNCT
fis-1247	301	17	complete	complete	ADJ
fis-1247	301	18	loss	loss	NOUN
fis-1247	301	19	of	of	ADP
fis-1247	301	20	cohesion	cohesion	NOUN
fis-1247	301	21	-	-	PUNCT
fis-1247	301	22	adhesion	adhesion	NOUN
fis-1247	301	23	,	,	PUNCT
fis-1247	301	24	dark	dark	ADJ
fis-1247	301	25	colour	colour	NOUN
fis-1247	301	26	)	)	PUNCT
fis-1247	301	27	.	.	PUNCT
fis-1247	302	1	increasing	increase	VERB
fis-1247	302	2	the	the	DET
fis-1247	302	3	strain	strain	NOUN
fis-1247	302	4	,	,	PUNCT
fis-1247	302	5	plasticity	plasticity	NOUN
fis-1247	302	6	develops	develop	VERB
fis-1247	302	7	on	on	ADP
fis-1247	302	8	horizontal	horizontal	ADJ
fis-1247	302	9	interfaces	interface	NOUN
fis-1247	302	10	also	also	ADV
fis-1247	302	11	until	until	SCONJ
fis-1247	302	12	the	the	DET
fis-1247	302	13	maximum	maximum	ADJ
fis-1247	302	14	stress	stress	NOUN
fis-1247	302	15	is	be	AUX
fis-1247	302	16	reached	reach	VERB
fis-1247	302	17	.	.	PUNCT
fis-1247	303	1	a	a	DET
fis-1247	303	2	softening	soften	VERB
fis-1247	303	3	branch	branch	NOUN
fis-1247	303	4	follows	follow	VERB
fis-1247	303	5	this	this	DET
fis-1247	303	6	stage	stage	NOUN
fis-1247	303	7	until	until	ADP
fis-1247	303	8	all	all	DET
fis-1247	303	9	gauss	gauss	ADJ
fis-1247	303	10	points	point	NOUN
fis-1247	303	11	,	,	PUNCT
fis-1247	303	12	unless	unless	SCONJ
fis-1247	303	13	those	those	PRON
fis-1247	303	14	on	on	ADP
fis-1247	303	15	the	the	DET
fis-1247	303	16	symmetry	symmetry	NOUN
fis-1247	303	17	axis	axis	NOUN
fis-1247	303	18	,	,	PUNCT
fis-1247	303	19	have	have	VERB
fis-1247	303	20	their	their	PRON
fis-1247	303	21	maximum	maximum	ADJ
fis-1247	303	22	plasticity	plasticity	NOUN
fis-1247	303	23	level	level	NOUN
fis-1247	303	24	(	(	PUNCT
fis-1247	303	25	fig	fig	NOUN
fis-1247	303	26	.	.	PUNCT
fis-1247	304	1	9c	9c	NUM
fis-1247	304	2	,	,	PUNCT
fis-1247	304	3	d	d	NOUN
fis-1247	304	4	)	)	PUNCT
fis-1247	304	5	.	.	PUNCT
fis-1247	305	1	t	t	PROPN
fis-1247	305	2	g.	g.	PROPN
fis-1247	305	3	gianbanco	gianbanco	PROPN
fis-1247	305	4	et	et	PROPN
fis-1247	305	5	alii	alii	PROPN
fis-1247	305	6	,	,	PUNCT
fis-1247	305	7	frattura	frattura	PROPN
fis-1247	305	8	ed	ed	PROPN
fis-1247	305	9	integrità	integrità	PROPN
fis-1247	305	10	strutturale	strutturale	PROPN
fis-1247	305	11	,	,	PUNCT
fis-1247	305	12	29	29	NUM
fis-1247	305	13	(	(	PUNCT
fis-1247	305	14	2014	2014	NUM
fis-1247	305	15	)	)	PUNCT
fis-1247	305	16	150	150	NUM
fis-1247	305	17	-	-	SYM
fis-1247	305	18	165	165	NUM
fis-1247	305	19	;	;	PUNCT
fis-1247	305	20	doi	doi	NOUN
fis-1247	305	21	:	:	PUNCT
fis-1247	305	22	10.3221	10.3221	NUM
fis-1247	305	23	/	/	SYM
fis-1247	305	24	igf	igf	PROPN
fis-1247	305	25	-	-	PUNCT
fis-1247	305	26	esis.29.14	esis.29.14	PROPN
fis-1247	305	27	162	162	NUM
fis-1247	305	28	a	a	DET
fis-1247	305	29	residual	residual	ADJ
fis-1247	305	30	stress	stress	NOUN
fis-1247	305	31	is	be	AUX
fis-1247	305	32	finally	finally	ADV
fis-1247	305	33	observed	observe	VERB
fis-1247	305	34	due	due	ADP
fis-1247	305	35	to	to	ADP
fis-1247	305	36	the	the	DET
fis-1247	305	37	uc	uc	PROPN
fis-1247	305	38	confinement	confinement	NOUN
fis-1247	305	39	.	.	PUNCT
fis-1247	306	1	the	the	DET
fis-1247	306	2	results	result	NOUN
fis-1247	306	3	of	of	ADP
fis-1247	306	4	localization	localization	NOUN
fis-1247	306	5	procedure	procedure	NOUN
fis-1247	306	6	is	be	AUX
fis-1247	306	7	also	also	ADV
fis-1247	306	8	showed	show	VERB
fis-1247	306	9	at	at	ADP
fis-1247	306	10	four	four	NUM
fis-1247	306	11	stages	stage	NOUN
fis-1247	306	12	of	of	ADP
fis-1247	306	13	fig	fig	NOUN
fis-1247	306	14	.	.	PUNCT
fis-1247	307	1	9	9	X
fis-1247	307	2	.	.	X
fis-1247	307	3	the	the	DET
fis-1247	307	4	localization	localization	NOUN
fis-1247	307	5	matrix	matrix	NOUN
fis-1247	307	6	has	have	VERB
fis-1247	307	7	a	a	DET
fis-1247	307	8	positive	positive	ADJ
fis-1247	307	9	determinant	determinant	NOUN
fis-1247	307	10	until	until	SCONJ
fis-1247	307	11	the	the	DET
fis-1247	307	12	maximum	maximum	ADJ
fis-1247	307	13	stress	stress	NOUN
fis-1247	307	14	is	be	AUX
fis-1247	307	15	obtained	obtain	VERB
fis-1247	307	16	and	and	CCONJ
fis-1247	307	17	no	no	DET
fis-1247	307	18	localization	localization	NOUN
fis-1247	307	19	can	can	AUX
fis-1247	307	20	be	be	AUX
fis-1247	307	21	identified	identify	VERB
fis-1247	307	22	before	before	ADV
fis-1247	307	23	.	.	PUNCT
fis-1247	308	1	once	once	ADV
fis-1247	308	2	the	the	DET
fis-1247	308	3	maximum	maximum	ADJ
fis-1247	308	4	load	load	NOUN
fis-1247	308	5	is	be	AUX
fis-1247	308	6	reached	reach	VERB
fis-1247	308	7	det	det	PROPN
fis-1247	308	8	0l	0l	PROPN
fis-1247	308	9	for	for	ADP
fis-1247	308	10	0	0	NUM
fis-1247	308	11	60	60	NUM
fis-1247	308	12	65	65	NUM
fis-1247	308	13			NOUN
fis-1247	308	14			NOUN
fis-1247	308	15			NOUN
fis-1247	308	16			PROPN
fis-1247	308	17			NOUN
fis-1247	308	18	but	but	CCONJ
fis-1247	308	19	the	the	DET
fis-1247	308	20	minimum	minimum	NOUN
fis-1247	308	21	eigenvalue	eigenvalue	NOUN
fis-1247	308	22	is	be	AUX
fis-1247	308	23	obtained	obtain	VERB
fis-1247	308	24	for	for	ADP
fis-1247	308	25	0	0	SYM
fis-1247	308	26			PROPN
fis-1247	308	27			PROPN
fis-1247	308	28	(	(	PUNCT
fis-1247	308	29	fig	fig	NOUN
fis-1247	308	30	.	.	PUNCT
fis-1247	308	31	10	10	NUM
fis-1247	308	32	)	)	PUNCT
fis-1247	308	33	,	,	PUNCT
fis-1247	308	34	that	that	PRON
fis-1247	308	35	is	be	AUX
fis-1247	308	36	the	the	DET
fis-1247	308	37	direction	direction	NOUN
fis-1247	308	38	of	of	ADP
fis-1247	308	39	n	n	DET
fis-1247	308	40	vector	vector	NOUN
fis-1247	308	41	.	.	PUNCT
fis-1247	309	1	eigenvector	eigenvector	VERB
fis-1247	309	2	analysis	analysis	NOUN
fis-1247	309	3	of	of	ADP
fis-1247	309	4	l	l	NOUN
fis-1247	309	5	matrix	matrix	NOUN
fis-1247	309	6	furnishes	furnish	VERB
fis-1247	309	7	an	an	DET
fis-1247	309	8	m	m	PROPN
fis-1247	309	9	vector	vector	NOUN
fis-1247	309	10	aligned	align	VERB
fis-1247	309	11	with	with	ADP
fis-1247	309	12	n	n	PROPN
fis-1247	309	13	,	,	PUNCT
fis-1247	309	14	that	that	PRON
fis-1247	309	15	confirms	confirm	VERB
fis-1247	309	16	the	the	DET
fis-1247	309	17	mode	mode	NOUN
fis-1247	309	18	i	i	PRON
fis-1247	309	19	failure	failure	NOUN
fis-1247	309	20	of	of	ADP
fis-1247	309	21	the	the	DET
fis-1247	309	22	uc	uc	PROPN
fis-1247	309	23	.	.	PROPN
fis-1247	309	24	figure	figure	NOUN
fis-1247	309	25	8	8	NUM
fis-1247	309	26	:	:	PUNCT
fis-1247	309	27	example	example	NOUN
fis-1247	309	28	1	1	NUM
fis-1247	309	29	:	:	PUNCT
fis-1247	309	30	mx	mx	PROPN
fis-1247	309	31	mx	mx	PROPN
fis-1247	309	32			PROPN
fis-1247	309	33	diagram	diagram	NOUN
fis-1247	309	34	.	.	PUNCT
fis-1247	310	1	(	(	PUNCT
fis-1247	310	2	a	a	X
fis-1247	310	3	)	)	PUNCT
fis-1247	310	4	(	(	PUNCT
fis-1247	310	5	b	b	X
fis-1247	310	6	)	)	PUNCT
fis-1247	310	7	(	(	PUNCT
fis-1247	310	8	c	c	X
fis-1247	310	9	)	)	PUNCT
fis-1247	310	10	(	(	PUNCT
fis-1247	310	11	d	d	X
fis-1247	310	12	)	)	PUNCT
fis-1247	310	13	figure	figure	NOUN
fis-1247	310	14	9	9	NUM
fis-1247	310	15	:	:	PUNCT
fis-1247	310	16	example	example	NOUN
fis-1247	310	17	1	1	NUM
fis-1247	310	18	:	:	PUNCT
fis-1247	310	19	plasticity	plasticity	NOUN
fis-1247	310	20	evolution	evolution	NOUN
fis-1247	310	21	at	at	ADP
fis-1247	310	22	interface	interface	NOUN
fis-1247	310	23	gauss	gauss	NOUN
fis-1247	310	24	points	point	NOUN
fis-1247	310	25	and	and	CCONJ
fis-1247	310	26	results	result	NOUN
fis-1247	310	27	of	of	ADP
fis-1247	310	28	localization	localization	NOUN
fis-1247	310	29	at	at	ADP
fis-1247	310	30	four	four	NUM
fis-1247	310	31	stages	stage	NOUN
fis-1247	310	32	indicated	indicate	VERB
fis-1247	310	33	in	in	ADP
fis-1247	310	34	fig	fig	NOUN
fis-1247	310	35	.	.	PUNCT
fis-1247	311	1	8	8	NUM
fis-1247	311	2	.	.	PUNCT
fis-1247	312	1	(	(	PUNCT
fis-1247	312	2	a	a	X
fis-1247	312	3	)	)	PUNCT
fis-1247	312	4	(	(	PUNCT
fis-1247	312	5	b	b	X
fis-1247	312	6	)	)	PUNCT
fis-1247	312	7	figure	figure	NOUN
fis-1247	312	8	10	10	NUM
fis-1247	312	9	:	:	PUNCT
fis-1247	312	10	example	example	NOUN
fis-1247	313	1	1	1	NUM
fis-1247	313	2	:	:	PUNCT
fis-1247	313	3	determinant	determinant	ADJ
fis-1247	313	4	of	of	ADP
fis-1247	313	5	localization	localization	NOUN
fis-1247	313	6	matrix	matrix	NOUN
fis-1247	313	7	(	(	PUNCT
fis-1247	313	8	a	a	NOUN
fis-1247	313	9	)	)	PUNCT
fis-1247	313	10	and	and	CCONJ
fis-1247	313	11	minimum	minimum	PROPN
fis-1247	313	12	eigenvalue	eigenvalue	PROPN
fis-1247	313	13	(	(	PUNCT
fis-1247	313	14	b	b	NOUN
fis-1247	313	15	)	)	PUNCT
fis-1247	313	16	for	for	ADP
fis-1247	313	17	different	different	ADJ
fis-1247	313	18	configurations	configuration	NOUN
fis-1247	313	19	of	of	ADP
fis-1247	313	20	n	n	DET
fis-1247	313	21	vector	vector	NOUN
fis-1247	313	22	.	.	PUNCT
fis-1247	314	1	colours	colour	NOUN
fis-1247	314	2	of	of	ADP
fis-1247	314	3	line	line	NOUN
fis-1247	314	4	refer	refer	VERB
fis-1247	314	5	to	to	ADP
fis-1247	314	6	the	the	DET
fis-1247	314	7	stages	stage	NOUN
fis-1247	314	8	indicated	indicate	VERB
fis-1247	314	9	in	in	ADP
fis-1247	314	10	fig	fig	NOUN
fis-1247	314	11	.	.	PUNCT
fis-1247	315	1	8	8	NUM
fis-1247	315	2	.	.	NOUN
fis-1247	315	3	example	example	NOUN
fis-1247	315	4	2	2	NUM
fis-1247	315	5	.	.	PUNCT
fis-1247	315	6	shear	shear	NOUN
fis-1247	315	7	strain	strain	NOUN
fis-1247	315	8	applied	apply	VERB
fis-1247	315	9	in	in	ADP
fis-1247	315	10	this	this	DET
fis-1247	315	11	second	second	ADJ
fis-1247	315	12	example	example	NOUN
fis-1247	315	13	the	the	DET
fis-1247	315	14	uc	uc	PROPN
fis-1247	315	15	is	be	AUX
fis-1247	315	16	subjected	subject	VERB
fis-1247	315	17	to	to	ADP
fis-1247	315	18	a	a	DET
fis-1247	315	19	monotonically	monotonically	ADV
fis-1247	315	20	increasing	increase	VERB
fis-1247	315	21	shear	shear	NOUN
fis-1247	315	22	strain	strain	NOUN
fis-1247	315	23	.	.	PUNCT
fis-1247	316	1	in	in	ADP
fis-1247	316	2	this	this	DET
fis-1247	316	3	case	case	NOUN
fis-1247	316	4	plasticity	plasticity	NOUN
fis-1247	316	5	appears	appear	VERB
fis-1247	316	6	at	at	ADP
fis-1247	316	7	two	two	NUM
fis-1247	316	8	opposite	opposite	ADJ
fis-1247	316	9	corners	corner	NOUN
fis-1247	316	10	of	of	ADP
fis-1247	316	11	the	the	DET
fis-1247	316	12	uc	uc	PROPN
fis-1247	316	13	due	due	ADP
fis-1247	316	14	to	to	ADP
fis-1247	316	15	shear	shear	NOUN
fis-1247	316	16	stresses	stress	NOUN
fis-1247	316	17	at	at	ADP
fis-1247	316	18	each	each	DET
fis-1247	316	19	interface	interface	NOUN
fis-1247	316	20	gauss	gauss	NOUN
fis-1247	316	21	point	point	NOUN
fis-1247	316	22	.	.	PUNCT
fis-1247	317	1	the	the	DET
fis-1247	317	2	average	average	ADJ
fis-1247	317	3	stress	stress	NOUN
fis-1247	317	4	-	-	PUNCT
fis-1247	317	5	strain	strain	NOUN
fis-1247	317	6	curve	curve	NOUN
fis-1247	317	7	is	be	AUX
fis-1247	317	8	nonlinear	nonlinear	ADJ
fis-1247	317	9	and	and	CCONJ
fis-1247	317	10	evolves	evolve	NOUN
fis-1247	317	11	from	from	ADP
fis-1247	317	12	an	an	DET
fis-1247	317	13	elastic	elastic	ADJ
fis-1247	317	14	stage	stage	NOUN
fis-1247	317	15	towards	towards	ADP
fis-1247	317	16	a	a	DET
fis-1247	317	17	residual	residual	ADJ
fis-1247	317	18	line	line	NOUN
fis-1247	317	19	governed	govern	VERB
fis-1247	317	20	by	by	ADP
fis-1247	317	21	mohr	mohr	PROPN
fis-1247	317	22	-	-	PUNCT
fis-1247	317	23	coulomb	coulomb	NOUN
fis-1247	317	24	limit	limit	NOUN
fis-1247	317	25	condition	condition	NOUN
fis-1247	317	26	and	and	CCONJ
fis-1247	317	27	dilatancy	dilatancy	NOUN
fis-1247	317	28	angle	angle	NOUN
fis-1247	317	29	(	(	PUNCT
fis-1247	317	30	fig	fig	NOUN
fis-1247	317	31	.	.	PUNCT
fis-1247	318	1	11	11	NUM
fis-1247	318	2	)	)	PUNCT
fis-1247	318	3	.	.	PUNCT
fis-1247	319	1	it	it	PRON
fis-1247	319	2	is	be	AUX
fis-1247	319	3	important	important	ADJ
fis-1247	319	4	to	to	PART
fis-1247	319	5	highlight	highlight	VERB
fis-1247	319	6	that	that	SCONJ
fis-1247	319	7	after	after	ADP
fis-1247	319	8	the	the	DET
fis-1247	319	9	localization	localization	NOUN
fis-1247	319	10	procedure	procedure	NOUN
fis-1247	319	11	the	the	DET
fis-1247	319	12	n	n	NUM
fis-1247	319	13	direction	direction	NOUN
fis-1247	319	14	is	be	AUX
fis-1247	319	15	close	close	ADJ
fis-1247	319	16	to	to	ADP
fis-1247	319	17	the	the	DET
fis-1247	319	18	diagonal	diagonal	NOUN
fis-1247	319	19	of	of	ADP
fis-1247	319	20	the	the	DET
fis-1247	319	21	uc	uc	PROPN
fis-1247	319	22	,	,	PUNCT
fis-1247	319	23	while	while	SCONJ
fis-1247	319	24	m	m	VERB
fis-1247	319	25	evolves	evolve	NOUN
fis-1247	319	26	during	during	ADP
fis-1247	319	27	the	the	DET
fis-1247	319	28	test	test	NOUN
fis-1247	319	29	and	and	CCONJ
fis-1247	319	30	,	,	PUNCT
fis-1247	319	31	if	if	SCONJ
fis-1247	319	32	at	at	ADP
fis-1247	319	33	the	the	DET
fis-1247	319	34	beginning	beginning	NOUN
fis-1247	319	35	it	it	PRON
fis-1247	319	36	seems	seem	VERB
fis-1247	319	37	to	to	PART
fis-1247	319	38	be	be	AUX
fis-1247	319	39	closer	close	ADJ
fis-1247	319	40	to	to	ADP
fis-1247	319	41	n	n	PROPN
fis-1247	319	42	,	,	PUNCT
fis-1247	319	43	at	at	ADP
fis-1247	319	44	the	the	DET
fis-1247	319	45	end	end	NOUN
fis-1247	319	46	the	the	DET
fis-1247	319	47	two	two	NUM
fis-1247	319	48	vectors	vector	NOUN
fis-1247	319	49	are	be	AUX
fis-1247	319	50	g.	g.	PROPN
fis-1247	319	51	gianbanco	gianbanco	PROPN
fis-1247	319	52	et	et	PROPN
fis-1247	319	53	alii	alii	PROPN
fis-1247	319	54	,	,	PUNCT
fis-1247	319	55	frattura	frattura	PROPN
fis-1247	319	56	ed	ed	PROPN
fis-1247	319	57	integrità	integrità	PROPN
fis-1247	319	58	strutturale	strutturale	PROPN
fis-1247	319	59	,	,	PUNCT
fis-1247	319	60	29	29	NUM
fis-1247	319	61	(	(	PUNCT
fis-1247	319	62	2014	2014	NUM
fis-1247	319	63	)	)	PUNCT
fis-1247	319	64	150	150	NUM
fis-1247	319	65	-	-	SYM
fis-1247	319	66	166	166	NUM
fis-1247	319	67	;	;	PUNCT
fis-1247	319	68	doi	doi	NOUN
fis-1247	319	69	:	:	PUNCT
fis-1247	319	70	10.3221	10.3221	NUM
fis-1247	319	71	/	/	SYM
fis-1247	319	72	igf	igf	PROPN
fis-1247	319	73	-	-	PUNCT
fis-1247	319	74	esis.29.14	esis.29.14	SYM
fis-1247	319	75	163	163	NUM
fis-1247	319	76	almost	almost	ADV
fis-1247	319	77	perpendicular	perpendicular	ADJ
fis-1247	319	78	.	.	PUNCT
fis-1247	320	1	in	in	ADP
fis-1247	320	2	this	this	DET
fis-1247	320	3	case	case	NOUN
fis-1247	320	4	the	the	DET
fis-1247	320	5	failure	failure	NOUN
fis-1247	320	6	mode	mode	NOUN
fis-1247	320	7	is	be	AUX
fis-1247	320	8	of	of	ADP
fis-1247	320	9	mixed	mixed	ADJ
fis-1247	320	10	type	type	NOUN
fis-1247	320	11	with	with	ADP
fis-1247	320	12	a	a	DET
fis-1247	320	13	tendency	tendency	NOUN
fis-1247	320	14	to	to	PART
fis-1247	320	15	became	become	VERB
fis-1247	320	16	of	of	ADP
fis-1247	320	17	mode	mode	PROPN
fis-1247	320	18	ii	ii	PROPN
fis-1247	320	19	(	(	PUNCT
fis-1247	320	20	fig	fig	NOUN
fis-1247	320	21	.	.	PUNCT
fis-1247	321	1	12a	12a	NOUN
fis-1247	321	2	-	-	SYM
fis-1247	321	3	d	d	NOUN
fis-1247	321	4	)	)	PUNCT
fis-1247	321	5	.	.	PUNCT
fis-1247	322	1	the	the	DET
fis-1247	322	2	angles	angle	NOUN
fis-1247	322	3	of	of	ADP
fis-1247	322	4	n	n	NUM
fis-1247	322	5	and	and	CCONJ
fis-1247	322	6	m	m	PROPN
fis-1247	322	7	vectors	vector	NOUN
fis-1247	322	8	with	with	ADP
fis-1247	322	9	respect	respect	NOUN
fis-1247	322	10	to	to	ADP
fis-1247	322	11	the	the	DET
fis-1247	322	12	1x	1x	NUM
fis-1247	322	13	axis	axis	NOUN
fis-1247	322	14	at	at	ADP
fis-1247	322	15	the	the	DET
fis-1247	322	16	final	final	ADJ
fis-1247	322	17	configuration	configuration	NOUN
fis-1247	322	18	are	be	AUX
fis-1247	322	19	of	of	ADP
fis-1247	322	20	15.9	15.9	NUM
fis-1247	322	21	°	°	NOUN
fis-1247	322	22	and	and	CCONJ
fis-1247	322	23	86.4	86.4	NUM
fis-1247	322	24	°	°	NOUN
fis-1247	322	25	respectively	respectively	ADV
fis-1247	322	26	.	.	PUNCT
fis-1247	323	1	in	in	ADP
fis-1247	323	2	fig	fig	NOUN
fis-1247	323	3	.	.	PUNCT
fis-1247	324	1	13	13	NUM
fis-1247	325	1	the	the	DET
fis-1247	325	2	determinant	determinant	NOUN
fis-1247	325	3	of	of	ADP
fis-1247	325	4	localization	localization	NOUN
fis-1247	325	5	matrix	matrix	NOUN
fis-1247	325	6	and	and	CCONJ
fis-1247	325	7	minimum	minimum	NOUN
fis-1247	325	8	eigenvalue	eigenvalue	NOUN
fis-1247	325	9	curves	curve	NOUN
fis-1247	325	10	versus	versus	ADP
fis-1247	325	11	orientation	orientation	NOUN
fis-1247	325	12			NOUN
fis-1247	325	13	of	of	ADP
fis-1247	325	14	n	n	PRON
fis-1247	325	15	vector	vector	NOUN
fis-1247	325	16	are	be	AUX
fis-1247	325	17	reported	report	VERB
fis-1247	325	18	.	.	PUNCT
fis-1247	326	1	figure	figure	VERB
fis-1247	326	2	11	11	NUM
fis-1247	326	3	:	:	PUNCT
fis-1247	326	4	example	example	NOUN
fis-1247	326	5	2	2	NUM
fis-1247	326	6	:	:	PUNCT
fis-1247	326	7	m	m	VERB
fis-1247	326	8	m	m	PROPN
fis-1247	326	9			PROPN
fis-1247	326	10	diagram	diagram	NOUN
fis-1247	326	11	.	.	PUNCT
fis-1247	327	1	(	(	PUNCT
fis-1247	327	2	a	a	X
fis-1247	327	3	)	)	PUNCT
fis-1247	327	4	(	(	PUNCT
fis-1247	327	5	b	b	X
fis-1247	327	6	)	)	PUNCT
fis-1247	327	7	(	(	PUNCT
fis-1247	327	8	c	c	X
fis-1247	327	9	)	)	PUNCT
fis-1247	327	10	(	(	PUNCT
fis-1247	327	11	d	d	X
fis-1247	327	12	)	)	PUNCT
fis-1247	327	13	figure	figure	NOUN
fis-1247	327	14	12	12	NUM
fis-1247	327	15	:	:	PUNCT
fis-1247	327	16	example	example	NOUN
fis-1247	327	17	2	2	NUM
fis-1247	327	18	:	:	PUNCT
fis-1247	327	19	plasticity	plasticity	NOUN
fis-1247	327	20	evolution	evolution	NOUN
fis-1247	327	21	at	at	ADP
fis-1247	327	22	interface	interface	NOUN
fis-1247	327	23	gauss	gauss	NOUN
fis-1247	327	24	points	point	NOUN
fis-1247	327	25	and	and	CCONJ
fis-1247	327	26	results	result	NOUN
fis-1247	327	27	of	of	ADP
fis-1247	327	28	localization	localization	NOUN
fis-1247	327	29	at	at	ADP
fis-1247	327	30	four	four	NUM
fis-1247	327	31	stages	stage	NOUN
fis-1247	327	32	indicated	indicate	VERB
fis-1247	327	33	in	in	ADP
fis-1247	327	34	fig	fig	NOUN
fis-1247	327	35	.	.	PUNCT
fis-1247	328	1	11	11	NUM
fis-1247	328	2	.	.	PUNCT
fis-1247	329	1	(	(	PUNCT
fis-1247	329	2	a	a	X
fis-1247	329	3	)	)	PUNCT
fis-1247	329	4	(	(	PUNCT
fis-1247	329	5	b	b	X
fis-1247	329	6	)	)	PUNCT
fis-1247	329	7	figure	figure	NOUN
fis-1247	329	8	13	13	NUM
fis-1247	329	9	:	:	PUNCT
fis-1247	329	10	example	example	NOUN
fis-1247	330	1	2	2	NUM
fis-1247	330	2	:	:	PUNCT
fis-1247	330	3	determinant	determinant	ADJ
fis-1247	330	4	of	of	ADP
fis-1247	330	5	localization	localization	NOUN
fis-1247	330	6	matrix	matrix	NOUN
fis-1247	330	7	(	(	PUNCT
fis-1247	330	8	a	a	NOUN
fis-1247	330	9	)	)	PUNCT
fis-1247	330	10	and	and	CCONJ
fis-1247	330	11	minimum	minimum	PROPN
fis-1247	330	12	eigenvalue	eigenvalue	PROPN
fis-1247	330	13	(	(	PUNCT
fis-1247	330	14	b	b	NOUN
fis-1247	330	15	)	)	PUNCT
fis-1247	330	16	for	for	ADP
fis-1247	330	17	different	different	ADJ
fis-1247	330	18	configurations	configuration	NOUN
fis-1247	330	19	of	of	ADP
fis-1247	330	20	n	n	DET
fis-1247	330	21	vector	vector	NOUN
fis-1247	330	22	.	.	PUNCT
fis-1247	331	1	colours	colour	NOUN
fis-1247	331	2	of	of	ADP
fis-1247	331	3	line	line	NOUN
fis-1247	331	4	refer	refer	VERB
fis-1247	331	5	to	to	ADP
fis-1247	331	6	the	the	DET
fis-1247	331	7	stages	stage	NOUN
fis-1247	331	8	indicated	indicate	VERB
fis-1247	331	9	in	in	ADP
fis-1247	331	10	fig	fig	NOUN
fis-1247	331	11	.	.	PUNCT
fis-1247	332	1	11	11	NUM
fis-1247	332	2	.	.	PUNCT
fis-1247	333	1	conclusions	conclusion	NOUN
fis-1247	333	2	his	his	PRON
fis-1247	333	3	paper	paper	NOUN
fis-1247	333	4	focuses	focus	VERB
fis-1247	333	5	on	on	ADP
fis-1247	333	6	a	a	DET
fis-1247	333	7	first	first	ADJ
fis-1247	333	8	order	order	NOUN
fis-1247	333	9	ch	ch	NOUN
fis-1247	333	10	method	method	NOUN
fis-1247	333	11	based	base	VERB
fis-1247	333	12	on	on	ADP
fis-1247	333	13	a	a	DET
fis-1247	333	14	fe	fe	ADJ
fis-1247	333	15	-	-	ADJ
fis-1247	333	16	meshless	meshless	ADJ
fis-1247	333	17	multiscale	multiscale	ADJ
fis-1247	333	18	procedure	procedure	NOUN
fis-1247	333	19	to	to	PART
fis-1247	333	20	be	be	AUX
fis-1247	333	21	employed	employ	VERB
fis-1247	333	22	to	to	PART
fis-1247	333	23	simulate	simulate	VERB
fis-1247	333	24	running	running	NOUN
fis-1247	333	25	bond	bond	NOUN
fis-1247	333	26	masonry	masonry	NOUN
fis-1247	333	27	materials	material	NOUN
fis-1247	333	28	in	in	ADP
fis-1247	333	29	plane	plane	NOUN
fis-1247	333	30	stress	stress	NOUN
fis-1247	333	31	regime	regime	NOUN
fis-1247	333	32	.	.	PUNCT
fis-1247	334	1	the	the	DET
fis-1247	334	2	uc	uc	PROPN
fis-1247	334	3	is	be	AUX
fis-1247	334	4	chosen	choose	VERB
fis-1247	334	5	equal	equal	ADJ
fis-1247	334	6	to	to	ADP
fis-1247	334	7	a	a	DET
fis-1247	334	8	brick	brick	NOUN
fis-1247	334	9	surrounded	surround	VERB
fis-1247	334	10	by	by	ADP
fis-1247	334	11	half	half	NOUN
fis-1247	334	12	mortar	mortar	NOUN
fis-1247	334	13	joint	joint	ADJ
fis-1247	334	14	layer	layer	NOUN
fis-1247	334	15	and	and	CCONJ
fis-1247	334	16	the	the	DET
fis-1247	334	17	boundary	boundary	ADJ
fis-1247	334	18	value	value	NOUN
fis-1247	334	19	problem	problem	NOUN
fis-1247	334	20	is	be	AUX
fis-1247	334	21	solved	solve	VERB
fis-1247	334	22	by	by	ADP
fis-1247	334	23	means	mean	NOUN
fis-1247	334	24	of	of	ADP
fis-1247	334	25	a	a	DET
fis-1247	334	26	meshless	meshless	ADJ
fis-1247	334	27	approach	approach	NOUN
fis-1247	334	28	,	,	PUNCT
fis-1247	334	29	which	which	PRON
fis-1247	334	30	is	be	AUX
fis-1247	334	31	the	the	DET
fis-1247	334	32	principal	principal	ADJ
fis-1247	334	33	novelty	novelty	NOUN
fis-1247	334	34	of	of	ADP
fis-1247	334	35	the	the	DET
fis-1247	334	36	paper	paper	NOUN
fis-1247	334	37	.	.	PUNCT
fis-1247	335	1	linear	linear	ADJ
fis-1247	335	2	displacements	displacement	NOUN
fis-1247	335	3	are	be	AUX
fis-1247	335	4	applied	apply	VERB
fis-1247	335	5	on	on	ADP
fis-1247	335	6	the	the	DET
fis-1247	335	7	uc	uc	PROPN
fis-1247	335	8	boundary	boundary	NOUN
fis-1247	335	9	.	.	PUNCT
fis-1247	336	1	the	the	DET
fis-1247	336	2	results	result	NOUN
fis-1247	336	3	will	will	AUX
fis-1247	336	4	be	be	AUX
fis-1247	336	5	compared	compare	VERB
fis-1247	336	6	with	with	ADP
fis-1247	336	7	those	those	PRON
fis-1247	336	8	obtained	obtain	VERB
fis-1247	336	9	using	use	VERB
fis-1247	336	10	periodic	periodic	ADJ
fis-1247	336	11	boundary	boundary	ADJ
fis-1247	336	12	conditions	condition	NOUN
fis-1247	336	13	in	in	ADP
fis-1247	336	14	a	a	DET
fis-1247	336	15	future	future	ADJ
fis-1247	336	16	work	work	NOUN
fis-1247	336	17	.	.	PUNCT
fis-1247	337	1	a	a	DET
fis-1247	337	2	simple	simple	ADJ
fis-1247	337	3	system	system	NOUN
fis-1247	337	4	represents	represent	VERB
fis-1247	337	5	the	the	DET
fis-1247	337	6	solving	solve	VERB
fis-1247	337	7	equations	equation	NOUN
fis-1247	337	8	of	of	ADP
fis-1247	337	9	t	t	PROPN
fis-1247	337	10	g.	g.	PROPN
fis-1247	337	11	gianbanco	gianbanco	PROPN
fis-1247	337	12	et	et	PROPN
fis-1247	337	13	alii	alii	PROPN
fis-1247	337	14	,	,	PUNCT
fis-1247	337	15	frattura	frattura	PROPN
fis-1247	337	16	ed	ed	PROPN
fis-1247	337	17	integrità	integrità	PROPN
fis-1247	337	18	strutturale	strutturale	PROPN
fis-1247	337	19	,	,	PUNCT
fis-1247	337	20	29	29	NUM
fis-1247	337	21	(	(	PUNCT
fis-1247	337	22	2014	2014	NUM
fis-1247	337	23	)	)	PUNCT
fis-1247	337	24	150	150	NUM
fis-1247	337	25	-	-	SYM
fis-1247	337	26	165	165	NUM
fis-1247	337	27	;	;	PUNCT
fis-1247	337	28	doi	doi	NOUN
fis-1247	337	29	:	:	PUNCT
fis-1247	337	30	10.3221	10.3221	NUM
fis-1247	337	31	/	/	SYM
fis-1247	337	32	igf	igf	PROPN
fis-1247	337	33	-	-	PUNCT
fis-1247	337	34	esis.29.14	esis.29.14	PROPN
fis-1247	337	35	164	164	NUM
fis-1247	337	36	the	the	DET
fis-1247	337	37	bvp	bvp	NOUN
fis-1247	337	38	.	.	PUNCT
fis-1247	338	1	also	also	ADV
fis-1247	338	2	,	,	PUNCT
fis-1247	338	3	the	the	DET
fis-1247	338	4	consistent	consistent	ADJ
fis-1247	338	5	macroscopic	macroscopic	ADJ
fis-1247	338	6	tangent	tangent	NOUN
fis-1247	338	7	stiffness	stiffness	NOUN
fis-1247	338	8	matrix	matrix	NOUN
fis-1247	338	9	is	be	AUX
fis-1247	338	10	evaluated	evaluate	VERB
fis-1247	338	11	and	and	CCONJ
fis-1247	338	12	a	a	DET
fis-1247	338	13	localization	localization	NOUN
fis-1247	338	14	procedure	procedure	NOUN
fis-1247	338	15	to	to	PART
fis-1247	338	16	find	find	VERB
fis-1247	338	17	discontinuity	discontinuity	NOUN
fis-1247	338	18	bands	band	NOUN
fis-1247	338	19	at	at	ADP
fis-1247	338	20	the	the	DET
fis-1247	338	21	macroscale	macroscale	NOUN
fis-1247	338	22	is	be	AUX
fis-1247	338	23	taken	take	VERB
fis-1247	338	24	into	into	ADP
fis-1247	338	25	account	account	NOUN
fis-1247	338	26	.	.	PUNCT
fis-1247	339	1	two	two	NUM
fis-1247	339	2	numerical	numerical	ADJ
fis-1247	339	3	examples	example	NOUN
fis-1247	339	4	focusing	focus	VERB
fis-1247	339	5	on	on	ADP
fis-1247	339	6	the	the	DET
fis-1247	339	7	uc	uc	PROPN
fis-1247	339	8	response	response	NOUN
fis-1247	339	9	only	only	ADV
fis-1247	339	10	are	be	AUX
fis-1247	339	11	reported	report	VERB
fis-1247	339	12	.	.	PUNCT
fis-1247	340	1	the	the	DET
fis-1247	340	2	results	result	NOUN
fis-1247	340	3	of	of	ADP
fis-1247	340	4	the	the	DET
fis-1247	340	5	bvp	bvp	NOUN
fis-1247	340	6	are	be	AUX
fis-1247	340	7	analyzed	analyze	VERB
fis-1247	340	8	to	to	PART
fis-1247	340	9	confirm	confirm	VERB
fis-1247	340	10	the	the	DET
fis-1247	340	11	goodness	goodness	NOUN
fis-1247	340	12	of	of	ADP
fis-1247	340	13	the	the	DET
fis-1247	340	14	meshless	meshless	ADJ
fis-1247	340	15	method	method	NOUN
fis-1247	340	16	to	to	PART
fis-1247	340	17	be	be	AUX
fis-1247	340	18	employed	employ	VERB
fis-1247	340	19	to	to	PART
fis-1247	340	20	solve	solve	VERB
fis-1247	340	21	the	the	DET
fis-1247	340	22	problem	problem	NOUN
fis-1247	340	23	at	at	ADP
fis-1247	340	24	the	the	DET
fis-1247	340	25	mesoscale	mesoscale	NOUN
fis-1247	340	26	.	.	PUNCT
fis-1247	341	1	the	the	DET
fis-1247	341	2	localization	localization	NOUN
fis-1247	341	3	procedure	procedure	NOUN
fis-1247	341	4	for	for	ADP
fis-1247	341	5	the	the	DET
fis-1247	341	6	two	two	NUM
fis-1247	341	7	examples	example	NOUN
fis-1247	341	8	correctly	correctly	ADV
fis-1247	341	9	identifies	identify	VERB
fis-1247	341	10	the	the	DET
fis-1247	341	11	failure	failure	NOUN
fis-1247	341	12	mode	mode	NOUN
fis-1247	341	13	type	type	NOUN
fis-1247	341	14	.	.	PUNCT
fis-1247	342	1	future	future	ADJ
fis-1247	342	2	developments	development	NOUN
fis-1247	342	3	regards	regard	VERB
fis-1247	342	4	the	the	DET
fis-1247	342	5	extension	extension	NOUN
fis-1247	342	6	of	of	ADP
fis-1247	342	7	this	this	DET
fis-1247	342	8	strategy	strategy	NOUN
fis-1247	342	9	to	to	ADP
fis-1247	342	10	other	other	ADJ
fis-1247	342	11	heterogeneous	heterogeneous	ADJ
fis-1247	342	12	periodic	periodic	ADJ
fis-1247	342	13	or	or	CCONJ
fis-1247	342	14	non	non	ADJ
fis-1247	342	15	-	-	ADJ
fis-1247	342	16	periodic	periodic	ADJ
fis-1247	342	17	materials	material	NOUN
fis-1247	342	18	also	also	ADV
fis-1247	342	19	for	for	ADP
fis-1247	342	20	3d	3d	NUM
fis-1247	342	21	analyses	analysis	NOUN
fis-1247	342	22	and	and	CCONJ
fis-1247	342	23	the	the	DET
fis-1247	342	24	introduction	introduction	NOUN
fis-1247	342	25	of	of	ADP
fis-1247	342	26	a	a	DET
fis-1247	342	27	non	non	ADJ
fis-1247	342	28	linear	linear	PROPN
fis-1247	342	29	behavior	behavior	NOUN
fis-1247	342	30	for	for	ADP
fis-1247	342	31	bricks	brick	NOUN
fis-1247	342	32	.	.	PUNCT
fis-1247	343	1	particular	particular	ADJ
fis-1247	343	2	attention	attention	NOUN
fis-1247	343	3	will	will	AUX
fis-1247	343	4	be	be	AUX
fis-1247	343	5	paid	pay	VERB
fis-1247	343	6	on	on	ADP
fis-1247	343	7	meshdependency	meshdependency	NOUN
fis-1247	343	8	for	for	ADP
fis-1247	343	9	the	the	DET
fis-1247	343	10	response	response	NOUN
fis-1247	343	11	at	at	ADP
fis-1247	343	12	the	the	DET
fis-1247	343	13	macroscale	macroscale	ADJ
fis-1247	343	14	level	level	NOUN
fis-1247	343	15	.	.	PUNCT
fis-1247	344	1	acknowledgements	acknowledgement	NOUN
fis-1247	344	2	he	he	PRON
fis-1247	344	3	authors	author	NOUN
fis-1247	344	4	acknowledge	acknowledge	VERB
fis-1247	344	5	the	the	DET
fis-1247	344	6	financial	financial	ADJ
fis-1247	344	7	support	support	NOUN
fis-1247	344	8	given	give	VERB
fis-1247	344	9	by	by	ADP
fis-1247	344	10	the	the	DET
fis-1247	344	11	italian	italian	PROPN
fis-1247	344	12	ministry	ministry	PROPN
fis-1247	344	13	of	of	ADP
fis-1247	344	14	education	education	PROPN
fis-1247	344	15	,	,	PUNCT
fis-1247	344	16	university	university	NOUN
fis-1247	344	17	and	and	CCONJ
fis-1247	344	18	research	research	NOUN
fis-1247	344	19	(	(	PUNCT
fis-1247	344	20	miur	miur	NOUN
fis-1247	344	21	)	)	PUNCT
fis-1247	344	22	under	under	ADP
fis-1247	344	23	the	the	DET
fis-1247	344	24	prin09	prin09	NOUN
fis-1247	344	25	project	project	VERB
fis-1247	344	26	2009xwlfkw_005	2009xwlfkw_005	NUM
fis-1247	344	27	,	,	PUNCT
fis-1247	344	28	“	"	PUNCT
fis-1247	344	29	a	a	DET
fis-1247	344	30	multiscale	multiscale	ADJ
fis-1247	344	31	approach	approach	NOUN
fis-1247	344	32	for	for	ADP
fis-1247	344	33	the	the	DET
fis-1247	344	34	analysis	analysis	NOUN
fis-1247	344	35	of	of	ADP
fis-1247	344	36	decohesion	decohesion	NOUN
fis-1247	344	37	processes	process	NOUN
fis-1247	344	38	and	and	CCONJ
fis-1247	344	39	fracture	fracture	NOUN
fis-1247	344	40	propagation	propagation	NOUN
fis-1247	344	41	”	"	PUNCT
fis-1247	344	42	.	.	PUNCT
fis-1247	345	1	references	reference	NOUN
fis-1247	345	2	[	[	X
fis-1247	345	3	1	1	NUM
fis-1247	345	4	]	]	PUNCT
fis-1247	345	5	giambanco	giambanco	NOUN
fis-1247	345	6	,	,	PUNCT
fis-1247	345	7	g.	g.	PROPN
fis-1247	345	8	,	,	PUNCT
fis-1247	345	9	rizzo	rizzo	PROPN
fis-1247	345	10	,	,	PUNCT
fis-1247	345	11	s.	s.	PROPN
fis-1247	345	12	,	,	PUNCT
fis-1247	345	13	spallino	spallino	PROPN
fis-1247	345	14	,	,	PUNCT
fis-1247	345	15	r.	r.	PROPN
fis-1247	345	16	,	,	PUNCT
fis-1247	345	17	numerical	numerical	ADJ
fis-1247	345	18	analysis	analysis	NOUN
fis-1247	345	19	of	of	ADP
fis-1247	345	20	masonry	masonry	NOUN
fis-1247	345	21	structures	structure	NOUN
fis-1247	345	22	via	via	ADP
fis-1247	345	23	interface	interface	NOUN
fis-1247	345	24	models	model	NOUN
fis-1247	345	25	,	,	PUNCT
fis-1247	345	26	comput	comput	NOUN
fis-1247	345	27	.	.	PUNCT
fis-1247	346	1	methods	method	NOUN
fis-1247	346	2	appl	appl	PROPN
fis-1247	346	3	.	.	PROPN
fis-1247	346	4	mech	mech	PROPN
fis-1247	346	5	.	.	PUNCT
fis-1247	347	1	eng	eng	PROPN
fis-1247	347	2	.	.	PROPN
fis-1247	347	3	,	,	PUNCT
fis-1247	347	4	190	190	NUM
fis-1247	347	5	(	(	PUNCT
fis-1247	347	6	49	49	NUM
fis-1247	347	7	)	)	PUNCT
fis-1247	347	8	(	(	PUNCT
fis-1247	347	9	2001	2001	NUM
fis-1247	347	10	)	)	PUNCT
fis-1247	347	11	6493	6493	NUM
fis-1247	347	12	-	-	SYM
fis-1247	347	13	6511	6511	NUM
fis-1247	347	14	.	.	PUNCT
fis-1247	348	1	[	[	X
fis-1247	348	2	2	2	NUM
fis-1247	348	3	]	]	X
fis-1247	348	4	lourenço	lourenço	X
fis-1247	348	5	,	,	PUNCT
fis-1247	348	6	p.b	p.b	PROPN
fis-1247	348	7	.	.	PROPN
fis-1247	348	8	,	,	PUNCT
fis-1247	348	9	rots	rot	VERB
fis-1247	348	10	,	,	PUNCT
fis-1247	348	11	j.g	j.g	PROPN
fis-1247	348	12	.	.	PROPN
fis-1247	348	13	,	,	PUNCT
fis-1247	348	14	multisurface	multisurface	NOUN
fis-1247	348	15	interface	interface	NOUN
fis-1247	348	16	model	model	NOUN
fis-1247	348	17	for	for	ADP
fis-1247	348	18	analysis	analysis	NOUN
fis-1247	348	19	of	of	ADP
fis-1247	348	20	masonry	masonry	NOUN
fis-1247	348	21	structures	structure	NOUN
fis-1247	348	22	,	,	PUNCT
fis-1247	348	23	j.	j.	PROPN
fis-1247	348	24	eng	eng	PROPN
fis-1247	348	25	.	.	PROPN
fis-1247	348	26	mech	mech	PROPN
fis-1247	348	27	.	.	PUNCT
fis-1247	349	1	(	(	PUNCT
fis-1247	349	2	asce	asce	PROPN
fis-1247	349	3	)	)	PUNCT
fis-1247	349	4	,	,	PUNCT
fis-1247	349	5	123	123	NUM
fis-1247	349	6	(	(	PUNCT
fis-1247	349	7	7	7	NUM
fis-1247	349	8	)	)	PUNCT
fis-1247	349	9	(	(	PUNCT
fis-1247	349	10	1997	1997	NUM
fis-1247	349	11	)	)	PUNCT
fis-1247	349	12	660	660	NUM
fis-1247	349	13	-	-	SYM
fis-1247	349	14	668	668	NUM
fis-1247	349	15	.	.	PUNCT
fis-1247	350	1	[	[	X
fis-1247	350	2	3	3	NUM
fis-1247	350	3	]	]	X
fis-1247	350	4	alfano	alfano	PROPN
fis-1247	350	5	,	,	PUNCT
fis-1247	350	6	g.	g.	PROPN
fis-1247	350	7	,	,	PUNCT
fis-1247	350	8	sacco	sacco	PROPN
fis-1247	350	9	,	,	PUNCT
fis-1247	350	10	e.	e.	PROPN
fis-1247	350	11	,	,	PUNCT
fis-1247	350	12	combining	combine	VERB
fis-1247	350	13	interface	interface	NOUN
fis-1247	350	14	damage	damage	NOUN
fis-1247	350	15	and	and	CCONJ
fis-1247	350	16	friction	friction	NOUN
fis-1247	350	17	in	in	ADP
fis-1247	350	18	a	a	DET
fis-1247	350	19	cohesive	cohesive	ADJ
fis-1247	350	20	zone	zone	NOUN
fis-1247	350	21	model	model	NOUN
fis-1247	350	22	,	,	PUNCT
fis-1247	350	23	int	int	PROPN
fis-1247	350	24	.	.	PUNCT
fis-1247	351	1	j.	j.	PROPN
fis-1247	351	2	numer	numer	PROPN
fis-1247	351	3	.	.	PUNCT
fis-1247	352	1	methods	method	NOUN
fis-1247	352	2	engrg	engrg	VERB
fis-1247	352	3	.	.	PROPN
fis-1247	352	4	,	,	PUNCT
fis-1247	352	5	68	68	NUM
fis-1247	352	6	(	(	PUNCT
fis-1247	352	7	2006	2006	NUM
fis-1247	352	8	)	)	PUNCT
fis-1247	352	9	542–582	542–582	NUM
fis-1247	352	10	.	.	PUNCT
fis-1247	353	1	[	[	X
fis-1247	353	2	4	4	NUM
fis-1247	353	3	]	]	X
fis-1247	353	4	spada	spada	PROPN
fis-1247	353	5	,	,	PUNCT
fis-1247	353	6	a.	a.	NOUN
fis-1247	353	7	,	,	PUNCT
fis-1247	353	8	giambanco	giambanco	NOUN
fis-1247	353	9	,	,	PUNCT
fis-1247	353	10	g.	g.	PROPN
fis-1247	353	11	,	,	PUNCT
fis-1247	353	12	rizzo	rizzo	PROPN
fis-1247	353	13	,	,	PUNCT
fis-1247	353	14	p.	p.	NOUN
fis-1247	353	15	,	,	PUNCT
fis-1247	353	16	damage	damage	NOUN
fis-1247	353	17	and	and	CCONJ
fis-1247	353	18	plasticity	plasticity	NOUN
fis-1247	353	19	at	at	ADP
fis-1247	353	20	the	the	DET
fis-1247	353	21	interfaces	interface	NOUN
fis-1247	353	22	in	in	ADP
fis-1247	353	23	composite	composite	ADJ
fis-1247	353	24	materials	material	NOUN
fis-1247	353	25	and	and	CCONJ
fis-1247	353	26	structures	structure	NOUN
fis-1247	353	27	.	.	PUNCT
fis-1247	353	28	,	,	PUNCT
fis-1247	353	29	comput	comput	NOUN
fis-1247	353	30	.	.	PUNCT
fis-1247	354	1	methods	method	NOUN
fis-1247	354	2	appl	appl	PROPN
fis-1247	354	3	.	.	PROPN
fis-1247	354	4	mech	mech	PROPN
fis-1247	354	5	.	.	PUNCT
fis-1247	355	1	eng	eng	PROPN
fis-1247	355	2	.	.	PROPN
fis-1247	355	3	,	,	PUNCT
fis-1247	355	4	198	198	NUM
fis-1247	355	5	(	(	PUNCT
fis-1247	355	6	49	49	NUM
fis-1247	355	7	)	)	PUNCT
fis-1247	355	8	(	(	PUNCT
fis-1247	355	9	2009	2009	NUM
fis-1247	355	10	)	)	PUNCT
fis-1247	355	11	,	,	PUNCT
fis-1247	355	12	3884	3884	NUM
fis-1247	355	13	-	-	SYM
fis-1247	355	14	3901	3901	NUM
fis-1247	355	15	.	.	PUNCT
fis-1247	356	1	[	[	X
fis-1247	356	2	5	5	NUM
fis-1247	356	3	]	]	SYM
fis-1247	356	4	sacco	sacco	PROPN
fis-1247	356	5	,	,	PUNCT
fis-1247	356	6	e.	e.	PROPN
fis-1247	356	7	,	,	PUNCT
fis-1247	356	8	lebon	lebon	PROPN
fis-1247	356	9	,	,	PUNCT
fis-1247	356	10	f.	f.	PROPN
fis-1247	356	11	,	,	PUNCT
fis-1247	356	12	a	a	DET
fis-1247	356	13	damage	damage	NOUN
fis-1247	356	14	-	-	PUNCT
fis-1247	356	15	friction	friction	NOUN
fis-1247	356	16	interface	interface	NOUN
fis-1247	356	17	model	model	NOUN
fis-1247	356	18	derived	derive	VERB
fis-1247	356	19	from	from	ADP
fis-1247	356	20	micromechanical	micromechanical	ADJ
fis-1247	356	21	approach	approach	NOUN
fis-1247	356	22	.	.	PUNCT
fis-1247	356	23	,	,	PUNCT
fis-1247	356	24	int	int	PROPN
fis-1247	356	25	.	.	PUNCT
fis-1247	357	1	j.	j.	PROPN
fis-1247	357	2	solids	solids	PROPN
fis-1247	357	3	and	and	CCONJ
fis-1247	357	4	struct	struct	NOUN
fis-1247	357	5	.	.	PUNCT
fis-1247	357	6	,	,	PUNCT
fis-1247	357	7	49	49	NUM
fis-1247	357	8	(	(	PUNCT
fis-1247	357	9	26	26	NUM
fis-1247	357	10	)	)	PUNCT
fis-1247	357	11	(	(	PUNCT
fis-1247	357	12	2012	2012	NUM
fis-1247	357	13	)	)	PUNCT
fis-1247	357	14	3666	3666	NUM
fis-1247	357	15	-	-	PUNCT
fis-1247	357	16	3680	3680	NUM
fis-1247	357	17	.	.	PUNCT
fis-1247	358	1	[	[	X
fis-1247	358	2	6	6	NUM
fis-1247	358	3	]	]	X
fis-1247	358	4	giambanco	giambanco	NOUN
fis-1247	358	5	,	,	PUNCT
fis-1247	358	6	g.	g.	PROPN
fis-1247	358	7	,	,	PUNCT
fis-1247	358	8	fileccia	fileccia	PROPN
fis-1247	358	9	scimemi	scimemi	PROPN
fis-1247	358	10	,	,	PUNCT
fis-1247	358	11	g.	g.	PROPN
fis-1247	358	12	,	,	PUNCT
fis-1247	358	13	spada	spada	PROPN
fis-1247	358	14	,	,	PUNCT
fis-1247	358	15	a.	a.	PROPN
fis-1247	358	16	,	,	PUNCT
fis-1247	358	17	the	the	DET
fis-1247	358	18	interphase	interphase	ADJ
fis-1247	358	19	finite	finite	NOUN
fis-1247	358	20	element	element	NOUN
fis-1247	358	21	,	,	PUNCT
fis-1247	358	22	comput	comput	NOUN
fis-1247	358	23	.	.	PUNCT
fis-1247	358	24	mech	mech	PROPN
fis-1247	358	25	.	.	PROPN
fis-1247	359	1	,	,	PUNCT
fis-1247	359	2	50	50	NUM
fis-1247	359	3	(	(	PUNCT
fis-1247	359	4	2012	2012	NUM
fis-1247	359	5	)	)	PUNCT
fis-1247	359	6	,	,	PUNCT
fis-1247	359	7	353	353	NUM
fis-1247	359	8	-	-	SYM
fis-1247	359	9	366	366	NUM
fis-1247	359	10	.	.	PUNCT
fis-1247	360	1	[	[	X
fis-1247	360	2	7	7	NUM
fis-1247	360	3	]	]	X
fis-1247	360	4	fuschi	fuschi	NOUN
fis-1247	360	5	,	,	PUNCT
fis-1247	360	6	p.	p.	NOUN
fis-1247	360	7	,	,	PUNCT
fis-1247	360	8	giambanco	giambanco	PROPN
fis-1247	360	9	,	,	PUNCT
fis-1247	360	10	g.	g.	PROPN
fis-1247	360	11	,	,	PUNCT
fis-1247	360	12	rizzo	rizzo	PROPN
fis-1247	360	13	,	,	PUNCT
fis-1247	360	14	s.	s.	PROPN
fis-1247	360	15	,	,	PUNCT
fis-1247	360	16	nonlinear	nonlinear	ADJ
fis-1247	360	17	finite	finite	ADJ
fis-1247	360	18	element	element	NOUN
fis-1247	360	19	analysis	analysis	NOUN
fis-1247	360	20	of	of	ADP
fis-1247	360	21	no	no	DET
fis-1247	360	22	-	-	PUNCT
fis-1247	360	23	tension	tension	NOUN
fis-1247	360	24	masonry	masonry	NOUN
fis-1247	360	25	structures	structure	NOUN
fis-1247	360	26	,	,	PUNCT
fis-1247	360	27	meccanica	meccanica	PROPN
fis-1247	360	28	,	,	PUNCT
fis-1247	360	29	30	30	NUM
fis-1247	360	30	(	(	PUNCT
fis-1247	360	31	3	3	NUM
fis-1247	360	32	)	)	PUNCT
fis-1247	360	33	(	(	PUNCT
fis-1247	360	34	1995	1995	NUM
fis-1247	360	35	)	)	PUNCT
fis-1247	360	36	233	233	NUM
fis-1247	360	37	-	-	SYM
fis-1247	360	38	249	249	NUM
fis-1247	360	39	.	.	PUNCT
fis-1247	361	1	[	[	X
fis-1247	361	2	8	8	NUM
fis-1247	361	3	]	]	PUNCT
fis-1247	361	4	kouznetsova	kouznetsova	X
fis-1247	361	5	,	,	PUNCT
fis-1247	361	6	v.	v.	ADV
fis-1247	361	7	,	,	PUNCT
fis-1247	361	8	geers	geer	NOUN
fis-1247	361	9	,	,	PUNCT
fis-1247	361	10	m.g	m.g	PROPN
fis-1247	361	11	.	.	PROPN
fis-1247	361	12	,	,	PUNCT
fis-1247	361	13	brekelmans	brekelman	NOUN
fis-1247	361	14	,	,	PUNCT
fis-1247	361	15	w.m	w.m	PROPN
fis-1247	361	16	.	.	PROPN
fis-1247	361	17	,	,	PUNCT
fis-1247	361	18	multi	multi	ADJ
fis-1247	361	19	-	-	ADJ
fis-1247	361	20	scale	scale	ADJ
fis-1247	361	21	constitutive	constitutive	ADJ
fis-1247	361	22	modelling	modelling	NOUN
fis-1247	361	23	of	of	ADP
fis-1247	361	24	heterogeneous	heterogeneous	ADJ
fis-1247	361	25	materials	material	NOUN
fis-1247	361	26	with	with	ADP
fis-1247	361	27	a	a	DET
fis-1247	361	28	gradient	gradient	NOUN
fis-1247	361	29	-	-	PUNCT
fis-1247	361	30	enhanced	enhance	VERB
fis-1247	361	31	computational	computational	ADJ
fis-1247	361	32	homogenization	homogenization	NOUN
fis-1247	361	33	scheme	scheme	NOUN
fis-1247	361	34	,	,	PUNCT
fis-1247	361	35	int	int	NOUN
fis-1247	361	36	.	.	PUNCT
fis-1247	362	1	j.	j.	PROPN
fis-1247	362	2	numer	numer	PROPN
fis-1247	362	3	.	.	PUNCT
fis-1247	362	4	meth	meth	PROPN
fis-1247	362	5	.	.	PUNCT
fis-1247	363	1	eng	eng	PROPN
fis-1247	363	2	.	.	PROPN
fis-1247	363	3	,	,	PUNCT
fis-1247	363	4	54	54	NUM
fis-1247	363	5	(	(	PUNCT
fis-1247	363	6	2002	2002	NUM
fis-1247	363	7	)	)	PUNCT
fis-1247	363	8	1235	1235	NUM
fis-1247	363	9	-	-	SYM
fis-1247	363	10	1260	1260	NUM
fis-1247	363	11	.	.	PUNCT
fis-1247	364	1	[	[	X
fis-1247	364	2	9	9	NUM
fis-1247	364	3	]	]	PUNCT
fis-1247	364	4	miehe	miehe	ADV
fis-1247	364	5	,	,	PUNCT
fis-1247	364	6	c.	c.	PROPN
fis-1247	364	7	,	,	PUNCT
fis-1247	364	8	koch	koch	PROPN
fis-1247	364	9	,	,	PUNCT
fis-1247	364	10	a.	a.	PROPN
fis-1247	364	11	,	,	PUNCT
fis-1247	364	12	computational	computational	ADJ
fis-1247	364	13	micro	micro	NOUN
fis-1247	364	14	-	-	PUNCT
fis-1247	364	15	to	to	ADP
fis-1247	364	16	-	-	PUNCT
fis-1247	364	17	macro	macro	ADJ
fis-1247	364	18	transitions	transition	NOUN
fis-1247	364	19	of	of	ADP
fis-1247	364	20	discretized	discretized	ADJ
fis-1247	364	21	microsctructures	microsctructure	NOUN
fis-1247	364	22	undergoing	undergo	VERB
fis-1247	364	23	small	small	ADJ
fis-1247	364	24	strains	strain	NOUN
fis-1247	364	25	,	,	PUNCT
fis-1247	364	26	applied	apply	VERB
fis-1247	364	27	mech	mech	NOUN
fis-1247	364	28	.	.	PUNCT
fis-1247	364	29	,	,	PUNCT
fis-1247	364	30	72	72	NUM
fis-1247	364	31	(	(	PUNCT
fis-1247	364	32	2002	2002	NUM
fis-1247	364	33	)	)	PUNCT
fis-1247	364	34	300	300	NUM
fis-1247	364	35	-	-	SYM
fis-1247	364	36	317	317	NUM
fis-1247	364	37	.	.	PUNCT
fis-1247	365	1	[	[	X
fis-1247	365	2	10	10	NUM
fis-1247	365	3	]	]	X
fis-1247	365	4	feyel	feyel	NOUN
fis-1247	365	5	,	,	PUNCT
fis-1247	365	6	f.	f.	PROPN
fis-1247	365	7	,	,	PUNCT
fis-1247	365	8	chaboche	chaboche	PROPN
fis-1247	365	9	,	,	PUNCT
fis-1247	365	10	j.l	j.l	PROPN
fis-1247	365	11	.	.	PROPN
fis-1247	365	12	,	,	PUNCT
fis-1247	365	13	fe2	fe2	PROPN
fis-1247	365	14	multiscale	multiscale	ADJ
fis-1247	365	15	approach	approach	NOUN
fis-1247	365	16	for	for	ADP
fis-1247	365	17	modelling	model	VERB
fis-1247	365	18	the	the	DET
fis-1247	365	19	elasto	elasto	NOUN
fis-1247	365	20	-	-	PUNCT
fis-1247	365	21	viscoplastic	viscoplastic	ADJ
fis-1247	365	22	behavior	behavior	NOUN
fis-1247	365	23	of	of	ADP
fis-1247	365	24	long	long	ADJ
fis-1247	365	25	fibre	fibre	NOUN
fis-1247	365	26	sic	sic	ADJ
fis-1247	365	27	/	/	SYM
fis-1247	365	28	ti	ti	NOUN
fis-1247	365	29	composite	composite	ADJ
fis-1247	365	30	materials	material	NOUN
fis-1247	365	31	,	,	PUNCT
fis-1247	365	32	comput	comput	NOUN
fis-1247	365	33	.	.	PUNCT
fis-1247	366	1	methods	method	NOUN
fis-1247	366	2	appl	appl	PROPN
fis-1247	366	3	.	.	PROPN
fis-1247	366	4	mech	mech	PROPN
fis-1247	366	5	.	.	PUNCT
fis-1247	367	1	eng	eng	PROPN
fis-1247	367	2	.	.	PROPN
fis-1247	367	3	,	,	PUNCT
fis-1247	367	4	183	183	NUM
fis-1247	367	5	(	(	PUNCT
fis-1247	367	6	3	3	NUM
fis-1247	367	7	)	)	PUNCT
fis-1247	367	8	(	(	PUNCT
fis-1247	367	9	2000	2000	NUM
fis-1247	367	10	)	)	PUNCT
fis-1247	367	11	309	309	NUM
fis-1247	367	12	-	-	SYM
fis-1247	367	13	330	330	NUM
fis-1247	367	14	.	.	PUNCT
fis-1247	368	1	[	[	X
fis-1247	368	2	11	11	NUM
fis-1247	368	3	]	]	X
fis-1247	368	4	nguyen	nguyen	NOUN
fis-1247	368	5	,	,	PUNCT
fis-1247	368	6	v.p	v.p	PROPN
fis-1247	368	7	.	.	PROPN
fis-1247	368	8	,	,	PUNCT
fis-1247	368	9	stroeven	stroeven	NOUN
fis-1247	368	10	,	,	PUNCT
fis-1247	368	11	m.	m.	NOUN
fis-1247	368	12	,	,	PUNCT
fis-1247	368	13	sluys	sluys	PROPN
fis-1247	368	14	,	,	PUNCT
fis-1247	368	15	l.j	l.j	PROPN
fis-1247	368	16	.	.	PROPN
fis-1247	368	17	,	,	PUNCT
fis-1247	368	18	multiscale	multiscale	VERB
fis-1247	368	19	continuous	continuous	ADJ
fis-1247	368	20	and	and	CCONJ
fis-1247	368	21	discontinuous	discontinuous	ADJ
fis-1247	368	22	modeling	modeling	NOUN
fis-1247	368	23	of	of	ADP
fis-1247	368	24	heterogeneous	heterogeneous	ADJ
fis-1247	368	25	materials	material	NOUN
fis-1247	368	26	:	:	PUNCT
fis-1247	368	27	a	a	DET
fis-1247	368	28	review	review	NOUN
fis-1247	368	29	on	on	ADP
fis-1247	368	30	recent	recent	ADJ
fis-1247	368	31	developments	development	NOUN
fis-1247	368	32	,	,	PUNCT
fis-1247	368	33	j.	j.	PROPN
fis-1247	368	34	multiscale	multiscale	PROPN
fis-1247	368	35	model	model	PROPN
fis-1247	368	36	.	.	PUNCT
fis-1247	369	1	,	,	PUNCT
fis-1247	369	2	3	3	X
fis-1247	369	3	(	(	PUNCT
fis-1247	369	4	04	04	NUM
fis-1247	369	5	)	)	PUNCT
fis-1247	369	6	(	(	PUNCT
fis-1247	369	7	2011	2011	NUM
fis-1247	369	8	)	)	PUNCT
fis-1247	369	9	229	229	NUM
fis-1247	369	10	-	-	SYM
fis-1247	369	11	270	270	NUM
fis-1247	369	12	.	.	PUNCT
fis-1247	370	1	[	[	X
fis-1247	370	2	12	12	NUM
fis-1247	370	3	]	]	PUNCT
fis-1247	370	4	geers	geer	NOUN
fis-1247	370	5	,	,	PUNCT
fis-1247	370	6	m.g.d	m.g.d	NOUN
fis-1247	370	7	.	.	PUNCT
fis-1247	370	8	,	,	PUNCT
fis-1247	370	9	kouznetsova	kouznetsova	PROPN
fis-1247	370	10	,	,	PUNCT
fis-1247	370	11	v.g	v.g	PROPN
fis-1247	370	12	.	.	PROPN
fis-1247	370	13	,	,	PUNCT
fis-1247	370	14	brekelmans	brekelman	NOUN
fis-1247	370	15	,	,	PUNCT
fis-1247	370	16	w.a.m	w.a.m	PROPN
fis-1247	370	17	.	.	PROPN
fis-1247	370	18	,	,	PUNCT
fis-1247	370	19	multiscale	multiscale	ADJ
fis-1247	370	20	computational	computational	ADJ
fis-1247	370	21	homogenization	homogenization	NOUN
fis-1247	370	22	:	:	PUNCT
fis-1247	370	23	trends	trend	NOUN
fis-1247	370	24	and	and	CCONJ
fis-1247	370	25	challenges	challenge	NOUN
fis-1247	370	26	,	,	PUNCT
fis-1247	370	27	j.	j.	PROPN
fis-1247	370	28	comput	comput	PROPN
fis-1247	370	29	.	.	PUNCT
fis-1247	371	1	appl	appl	PROPN
fis-1247	371	2	.	.	PROPN
fis-1247	371	3	math	math	PROPN
fis-1247	371	4	.	.	PUNCT
fis-1247	372	1	,	,	PUNCT
fis-1247	372	2	234	234	NUM
fis-1247	372	3	(	(	PUNCT
fis-1247	372	4	7	7	NUM
fis-1247	372	5	)	)	PUNCT
fis-1247	372	6	(	(	PUNCT
fis-1247	372	7	2010	2010	NUM
fis-1247	372	8	)	)	PUNCT
fis-1247	372	9	2175	2175	NUM
fis-1247	372	10	-	-	SYM
fis-1247	372	11	2182	2182	NUM
fis-1247	372	12	.	.	PUNCT
fis-1247	373	1	[	[	X
fis-1247	373	2	13	13	NUM
fis-1247	373	3	]	]	SYM
fis-1247	373	4	massart	massart	PROPN
fis-1247	373	5	,	,	PUNCT
fis-1247	373	6	t.j	t.j	PROPN
fis-1247	373	7	.	.	PROPN
fis-1247	373	8	,	,	PUNCT
fis-1247	373	9	multi	multi	ADJ
fis-1247	373	10	-	-	ADJ
fis-1247	373	11	scale	scale	ADJ
fis-1247	373	12	modeling	modeling	NOUN
fis-1247	373	13	of	of	ADP
fis-1247	373	14	damage	damage	NOUN
fis-1247	373	15	in	in	ADP
fis-1247	373	16	masonry	masonry	NOUN
fis-1247	373	17	structures	structure	NOUN
fis-1247	373	18	,	,	PUNCT
fis-1247	373	19	ph	ph	PROPN
fis-1247	373	20	.	.	PROPN
fis-1247	373	21	d.	d.	PROPN
fis-1247	373	22	thesis	thesis	PROPN
fis-1247	373	23	,	,	PUNCT
fis-1247	373	24	university	university	NOUN
fis-1247	373	25	of	of	ADP
fis-1247	373	26	technology	technology	NOUN
fis-1247	373	27	,	,	PUNCT
fis-1247	373	28	eindhoven	eindhoven	VERB
fis-1247	373	29	,	,	PUNCT
fis-1247	373	30	(	(	PUNCT
fis-1247	373	31	2003	2003	NUM
fis-1247	373	32	)	)	PUNCT
fis-1247	373	33	.	.	PUNCT
fis-1247	374	1	[	[	X
fis-1247	374	2	14	14	NUM
fis-1247	374	3	]	]	X
fis-1247	374	4	addessi	addessi	PROPN
fis-1247	374	5	,	,	PUNCT
fis-1247	374	6	d.	d.	PROPN
fis-1247	374	7	,	,	PUNCT
fis-1247	374	8	sacco	sacco	PROPN
fis-1247	374	9	,	,	PUNCT
fis-1247	374	10	e.	e.	PROPN
fis-1247	374	11	,	,	PUNCT
fis-1247	374	12	a	a	DET
fis-1247	374	13	multi	multi	ADJ
fis-1247	374	14	-	-	ADJ
fis-1247	374	15	scale	scale	ADJ
fis-1247	374	16	enriched	enriched	ADJ
fis-1247	374	17	model	model	NOUN
fis-1247	374	18	for	for	ADP
fis-1247	374	19	the	the	DET
fis-1247	374	20	analysis	analysis	NOUN
fis-1247	374	21	of	of	ADP
fis-1247	374	22	masonry	masonry	NOUN
fis-1247	374	23	panels	panel	NOUN
fis-1247	374	24	,	,	PUNCT
fis-1247	374	25	int	int	NOUN
fis-1247	374	26	.	.	PUNCT
fis-1247	375	1	j.	j.	PROPN
fis-1247	375	2	solids	solids	PROPN
fis-1247	375	3	and	and	CCONJ
fis-1247	375	4	struct	struct	NOUN
fis-1247	375	5	.	.	PUNCT
fis-1247	375	6	,	,	PUNCT
fis-1247	375	7	49	49	NUM
fis-1247	375	8	(	(	PUNCT
fis-1247	375	9	6	6	NUM
fis-1247	375	10	)	)	PUNCT
fis-1247	375	11	(	(	PUNCT
fis-1247	375	12	2012	2012	NUM
fis-1247	375	13	)	)	PUNCT
fis-1247	375	14	865	865	NUM
fis-1247	375	15	-	-	SYM
fis-1247	375	16	880	880	NUM
fis-1247	375	17	.	.	PUNCT
fis-1247	376	1	[	[	X
fis-1247	376	2	15	15	NUM
fis-1247	376	3	]	]	X
fis-1247	376	4	jirásek	jirásek	NOUN
fis-1247	376	5	,	,	PUNCT
fis-1247	376	6	m.	m.	NOUN
fis-1247	376	7	,	,	PUNCT
fis-1247	376	8	mathemathical	mathemathical	ADJ
fis-1247	376	9	analysis	analysis	NOUN
fis-1247	376	10	of	of	ADP
fis-1247	376	11	strain	strain	NOUN
fis-1247	376	12	localization	localization	NOUN
fis-1247	376	13	,	,	PUNCT
fis-1247	376	14	regc	regc	ADJ
fis-1247	376	15	–	–	PUNCT
fis-1247	376	16	damage	damage	NOUN
fis-1247	376	17	and	and	CCONJ
fis-1247	376	18	fracture	fracture	NOUN
fis-1247	376	19	in	in	ADP
fis-1247	376	20	geomaterials	geomaterial	NOUN
fis-1247	376	21	,	,	PUNCT
fis-1247	376	22	11	11	NUM
fis-1247	376	23	(	(	PUNCT
fis-1247	376	24	2007	2007	NUM
fis-1247	376	25	)	)	PUNCT
fis-1247	376	26	977	977	NUM
fis-1247	376	27	-	-	SYM
fis-1247	376	28	991	991	NUM
fis-1247	376	29	.	.	PUNCT
fis-1247	377	1	[	[	X
fis-1247	377	2	16	16	NUM
fis-1247	377	3	]	]	X
fis-1247	377	4	massart	massart	PROPN
fis-1247	377	5	,	,	PUNCT
fis-1247	377	6	t.j	t.j	PROPN
fis-1247	377	7	.	.	PROPN
fis-1247	377	8	,	,	PUNCT
fis-1247	377	9	peerlings	peerling	NOUN
fis-1247	377	10	,	,	PUNCT
fis-1247	377	11	r.h.j	r.h.j	ADJ
fis-1247	377	12	.	.	PROPN
fis-1247	377	13	,	,	PUNCT
fis-1247	377	14	geers	geer	NOUN
fis-1247	377	15	,	,	PUNCT
fis-1247	377	16	m.g.d	m.g.d	NOUN
fis-1247	377	17	.	.	PUNCT
fis-1247	377	18	,	,	PUNCT
fis-1247	377	19	an	an	DET
fis-1247	377	20	enhanced	enhanced	ADJ
fis-1247	377	21	multi	multi	ADJ
fis-1247	377	22	-	-	ADJ
fis-1247	377	23	scale	scale	ADJ
fis-1247	377	24	approach	approach	NOUN
fis-1247	377	25	for	for	ADP
fis-1247	377	26	masonry	masonry	NOUN
fis-1247	377	27	wall	wall	PROPN
fis-1247	377	28	computations	computation	NOUN
fis-1247	377	29	with	with	ADP
fis-1247	377	30	localization	localization	NOUN
fis-1247	377	31	of	of	ADP
fis-1247	377	32	damage	damage	NOUN
fis-1247	377	33	,	,	PUNCT
fis-1247	377	34	int	int	NOUN
fis-1247	377	35	.	.	PUNCT
fis-1247	378	1	j.	j.	PROPN
fis-1247	378	2	numer	numer	PROPN
fis-1247	378	3	.	.	PUNCT
fis-1247	379	1	meth	meth	PROPN
fis-1247	379	2	.	.	PUNCT
fis-1247	380	1	engrg	engrg	PROPN
fis-1247	380	2	,	,	PUNCT
fis-1247	380	3	69	69	NUM
fis-1247	380	4	(	(	PUNCT
fis-1247	380	5	2007	2007	NUM
fis-1247	380	6	)	)	PUNCT
fis-1247	380	7	1022	1022	NUM
fis-1247	380	8	-	-	SYM
fis-1247	380	9	1059	1059	NUM
fis-1247	380	10	.	.	PUNCT
fis-1247	381	1	[	[	X
fis-1247	381	2	17	17	NUM
fis-1247	381	3	]	]	X
fis-1247	381	4	rice	rice	NOUN
fis-1247	381	5	,	,	PUNCT
fis-1247	381	6	j.r	j.r	PROPN
fis-1247	381	7	.	.	PROPN
fis-1247	381	8	,	,	PUNCT
fis-1247	381	9	the	the	DET
fis-1247	381	10	localization	localization	NOUN
fis-1247	381	11	of	of	ADP
fis-1247	381	12	plastic	plastic	ADJ
fis-1247	381	13	deformation	deformation	NOUN
fis-1247	381	14	,	,	PUNCT
fis-1247	381	15	theoretical	theoretical	ADJ
fis-1247	381	16	and	and	CCONJ
fis-1247	381	17	applied	applied	ADJ
fis-1247	381	18	mech	mech	NOUN
fis-1247	381	19	.	.	PUNCT
fis-1247	381	20	,	,	PUNCT
fis-1247	381	21	proc	proc	PROPN
fis-1247	381	22	.	.	PUNCT
fis-1247	382	1	14th	14th	ADJ
fis-1247	382	2	iutam	iutam	PROPN
fis-1247	382	3	congr	congr	NOUN
fis-1247	382	4	.	.	PUNCT
fis-1247	382	5	,	,	PUNCT
fis-1247	382	6	delft	delft	PROPN
fis-1247	382	7	,	,	PUNCT
fis-1247	382	8	the	the	DET
fis-1247	382	9	netherlands	netherlands	PROPN
fis-1247	382	10	,	,	PUNCT
fis-1247	382	11	30	30	NUM
fis-1247	382	12	aug-4	aug-4	X
fis-1247	382	13	sept	sept	PROPN
fis-1247	382	14	(	(	PUNCT
fis-1247	382	15	1976	1976	NUM
fis-1247	382	16	)	)	PUNCT
fis-1247	382	17	207	207	NUM
fis-1247	382	18	-	-	SYM
fis-1247	382	19	220	220	NUM
fis-1247	382	20	.	.	PUNCT
fis-1247	383	1	[	[	X
fis-1247	383	2	18	18	NUM
fis-1247	383	3	]	]	X
fis-1247	383	4	ottosen	ottosen	PROPN
fis-1247	383	5	,	,	PUNCT
fis-1247	383	6	n.s	n.s	PROPN
fis-1247	383	7	.	.	PROPN
fis-1247	383	8	,	,	PUNCT
fis-1247	383	9	runesson	runesson	PROPN
fis-1247	383	10	,	,	PUNCT
fis-1247	383	11	k.	k.	PROPN
fis-1247	383	12	,	,	PUNCT
fis-1247	383	13	properties	property	NOUN
fis-1247	383	14	of	of	ADP
fis-1247	383	15	discontinuous	discontinuous	ADJ
fis-1247	383	16	bifurcation	bifurcation	NOUN
fis-1247	383	17	solutions	solution	NOUN
fis-1247	383	18	in	in	ADP
fis-1247	383	19	elasto	elasto	NOUN
fis-1247	383	20	-	-	PUNCT
fis-1247	383	21	plasticity	plasticity	NOUN
fis-1247	383	22	,	,	PUNCT
fis-1247	383	23	int	int	NOUN
fis-1247	383	24	.	.	PUNCT
fis-1247	384	1	j.	j.	PROPN
fis-1247	384	2	solids	solids	PROPN
fis-1247	384	3	and	and	CCONJ
fis-1247	384	4	struct	struct	NOUN
fis-1247	384	5	.	.	PUNCT
fis-1247	384	6	,	,	PUNCT
fis-1247	384	7	4	4	NUM
fis-1247	384	8	(	(	PUNCT
fis-1247	384	9	1991	1991	NUM
fis-1247	384	10	)	)	PUNCT
fis-1247	384	11	401	401	NUM
fis-1247	384	12	-	-	SYM
fis-1247	384	13	421	421	NUM
fis-1247	384	14	.	.	PUNCT
fis-1247	385	1	t	t	PROPN
fis-1247	385	2	g.	g.	PROPN
fis-1247	385	3	gianbanco	gianbanco	PROPN
fis-1247	385	4	et	et	PROPN
fis-1247	385	5	alii	alii	PROPN
fis-1247	385	6	,	,	PUNCT
fis-1247	385	7	frattura	frattura	PROPN
fis-1247	385	8	ed	ed	PROPN
fis-1247	385	9	integrità	integrità	PROPN
fis-1247	385	10	strutturale	strutturale	PROPN
fis-1247	385	11	,	,	PUNCT
fis-1247	385	12	29	29	NUM
fis-1247	385	13	(	(	PUNCT
fis-1247	385	14	2014	2014	NUM
fis-1247	385	15	)	)	PUNCT
fis-1247	385	16	150	150	NUM
fis-1247	385	17	-	-	SYM
fis-1247	385	18	166	166	NUM
fis-1247	385	19	;	;	PUNCT
fis-1247	385	20	doi	doi	NOUN
fis-1247	385	21	:	:	PUNCT
fis-1247	385	22	10.3221	10.3221	NUM
fis-1247	385	23	/	/	SYM
fis-1247	385	24	igf	igf	PROPN
fis-1247	385	25	-	-	PUNCT
fis-1247	385	26	esis.29.14	esis.29.14	PROPN
fis-1247	385	27	165	165	NUM
fis-1247	385	28	[	[	SYM
fis-1247	385	29	19	19	NUM
fis-1247	385	30	]	]	X
fis-1247	385	31	atluri	atluri	PROPN
fis-1247	385	32	,	,	PUNCT
fis-1247	385	33	s.n	s.n	PROPN
fis-1247	385	34	.	.	PROPN
fis-1247	385	35	,	,	PUNCT
fis-1247	385	36	shen	shen	PROPN
fis-1247	385	37	,	,	PUNCT
fis-1247	385	38	s.	s.	PROPN
fis-1247	385	39	,	,	PUNCT
fis-1247	385	40	the	the	DET
fis-1247	385	41	meshless	meshless	ADJ
fis-1247	385	42	method	method	NOUN
fis-1247	385	43	,	,	PUNCT
fis-1247	385	44	tech	tech	NOUN
fis-1247	385	45	.	.	PUNCT
fis-1247	386	1	sci	sci	PROPN
fis-1247	386	2	.	.	PROPN
fis-1247	386	3	press	press	PROPN
fis-1247	386	4	,	,	PUNCT
fis-1247	386	5	forsyth	forsyth	PROPN
fis-1247	386	6	,	,	PUNCT
fis-1247	386	7	(	(	PUNCT
fis-1247	386	8	2002	2002	NUM
fis-1247	386	9	)	)	PUNCT
fis-1247	386	10	.	.	PUNCT
fis-1247	387	1	[	[	X
fis-1247	387	2	20	20	NUM
fis-1247	387	3	]	]	SYM
fis-1247	387	4	hill	hill	PROPN
fis-1247	387	5	,	,	PUNCT
fis-1247	387	6	r.	r.	PROPN
fis-1247	387	7	,	,	PUNCT
fis-1247	387	8	a	a	DET
fis-1247	387	9	self	self	NOUN
fis-1247	387	10	-	-	PUNCT
fis-1247	387	11	consistent	consistent	ADJ
fis-1247	387	12	mechanics	mechanic	NOUN
fis-1247	387	13	of	of	ADP
fis-1247	387	14	composite	composite	ADJ
fis-1247	387	15	materials	material	NOUN
fis-1247	387	16	,	,	PUNCT
fis-1247	387	17	j.	j.	PROPN
fis-1247	387	18	mech	mech	PROPN
fis-1247	387	19	.	.	PUNCT
fis-1247	388	1	and	and	CCONJ
fis-1247	388	2	phys	phy	NOUN
fis-1247	388	3	.	.	PUNCT
fis-1247	389	1	solids	solid	NOUN
fis-1247	389	2	,	,	PUNCT
fis-1247	389	3	13	13	NUM
fis-1247	389	4	(	(	PUNCT
fis-1247	389	5	4	4	NUM
fis-1247	389	6	)	)	PUNCT
fis-1247	389	7	(	(	PUNCT
fis-1247	389	8	1965	1965	NUM
fis-1247	389	9	)	)	PUNCT
fis-1247	389	10	,	,	PUNCT
fis-1247	389	11	213	213	NUM
fis-1247	389	12	-	-	SYM
fis-1247	389	13	222	222	NUM
fis-1247	389	14	.	.	PUNCT
fis-1247	390	1	[	[	X
fis-1247	390	2	21	21	NUM
fis-1247	390	3	]	]	X
fis-1247	390	4	mandel	mandel	PROPN
fis-1247	390	5	,	,	PUNCT
fis-1247	390	6	j.	j.	PROPN
fis-1247	390	7	,	,	PUNCT
fis-1247	390	8	plasticit	plasticit	NOUN
fis-1247	390	9	classique	classique	NOUN
fis-1247	390	10	et	et	PROPN
fis-1247	390	11	viscoplasticit	viscoplasticit	NOUN
fis-1247	390	12	,	,	PUNCT
fis-1247	390	13	springer	springer	NOUN
fis-1247	390	14	-	-	PUNCT
fis-1247	390	15	verlag	verlag	PROPN
fis-1247	390	16	,	,	PUNCT
fis-1247	390	17	udine	udine	PROPN
fis-1247	390	18	italy	italy	PROPN
fis-1247	390	19	,	,	PUNCT
fis-1247	390	20	(	(	PUNCT
fis-1247	390	21	1971	1971	NUM
fis-1247	390	22	)	)	PUNCT
fis-1247	390	23	.	.	PUNCT
fis-1247	391	1	[	[	X
fis-1247	391	2	22	22	NUM
fis-1247	391	3	]	]	X
fis-1247	391	4	anthoine	anthoine	PROPN
fis-1247	391	5	,	,	PUNCT
fis-1247	391	6	a.	a.	NOUN
fis-1247	391	7	,	,	PUNCT
fis-1247	391	8	derivation	derivation	NOUN
fis-1247	391	9	of	of	ADP
fis-1247	391	10	the	the	DET
fis-1247	391	11	in	in	ADP
fis-1247	391	12	-	-	PUNCT
fis-1247	391	13	plane	plane	NOUN
fis-1247	391	14	elastic	elastic	ADJ
fis-1247	391	15	characteristics	characteristic	NOUN
fis-1247	391	16	of	of	ADP
fis-1247	391	17	masonry	masonry	NOUN
fis-1247	391	18	through	through	ADP
fis-1247	391	19	homogenization	homogenization	NOUN
fis-1247	391	20	theory	theory	NOUN
fis-1247	391	21	,	,	PUNCT
fis-1247	391	22	int	int	PROPN
fis-1247	391	23	.	.	PUNCT
fis-1247	392	1	j.	j.	PROPN
fis-1247	392	2	solids	solids	PROPN
fis-1247	392	3	struct	struct	NOUN
fis-1247	392	4	.	.	PUNCT
fis-1247	392	5	,	,	PUNCT
fis-1247	392	6	32	32	NUM
fis-1247	392	7	(	(	PUNCT
fis-1247	392	8	2	2	NUM
fis-1247	392	9	)	)	PUNCT
fis-1247	392	10	(	(	PUNCT
fis-1247	392	11	1995	1995	NUM
fis-1247	392	12	)	)	PUNCT
fis-1247	392	13	137	137	NUM
fis-1247	392	14	-	-	SYM
fis-1247	392	15	163	163	NUM
fis-1247	392	16	.	.	PUNCT
fis-1247	393	1	[	[	X
fis-1247	393	2	23	23	NUM
fis-1247	393	3	]	]	X
fis-1247	393	4	anthoine	anthoine	PROPN
fis-1247	393	5	,	,	PUNCT
fis-1247	393	6	a.	a.	NOUN
fis-1247	393	7	,	,	PUNCT
fis-1247	393	8	homogenization	homogenization	NOUN
fis-1247	393	9	of	of	ADP
fis-1247	393	10	periodic	periodic	ADJ
fis-1247	393	11	masonry	masonry	NOUN
fis-1247	393	12	:	:	PUNCT
fis-1247	393	13	plane	plane	NOUN
fis-1247	393	14	stress	stress	NOUN
fis-1247	393	15	,	,	PUNCT
fis-1247	393	16	generalized	generalized	ADJ
fis-1247	393	17	plane	plane	NOUN
fis-1247	393	18	strain	strain	NOUN
fis-1247	393	19	or	or	CCONJ
fis-1247	393	20	3d	3d	NUM
fis-1247	393	21	modeling	modeling	NOUN
fis-1247	393	22	,	,	PUNCT
fis-1247	393	23	com	com	NOUN
fis-1247	393	24	.	.	PUNCT
fis-1247	393	25	num	num	PROPN
fis-1247	393	26	.	.	PUNCT
fis-1247	393	27	meth	meth	NOUN
fis-1247	393	28	.	.	PUNCT
fis-1247	394	1	eng	eng	PROPN
fis-1247	394	2	.	.	PROPN
fis-1247	394	3	,	,	PUNCT
fis-1247	394	4	13	13	NUM
fis-1247	394	5	(	(	PUNCT
fis-1247	394	6	1997	1997	NUM
fis-1247	394	7	)	)	PUNCT
fis-1247	394	8	319	319	NUM
fis-1247	394	9	-	-	SYM
fis-1247	394	10	326	326	NUM
fis-1247	394	11	.	.	PUNCT